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Finding the Fourth Proportional to 24,920.54, 34,390.23 and 13,742.54

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Solution

The fourth proportional to 24,920.54, 34,390.23 and 13,742.54 is: 18,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,920.54 : 34,390.23 = 13,742.54 : x
  2. Step 2: Convert to fraction form
    24,920.54/34,390.23 = 13,742.54/x
  3. Step 3: Cross multiply
    24,920.54x = 34,390.23 × 13,742.54
  4. Step 4: Simplify right side
    24,920.54x = 472,609,111.38
  5. Step 5: Solve for x
    x = 472,609,111.38/24,920.54
  6. Step 6: Final answer
    x = 18,964.64

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Double scale
Find fourth proportional to 24,921.54, 34,391.61 and 13,743.54
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.