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Finding the Fourth Proportional to 24,920.96, 34,390.80 and 13,742.96

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Solution

The fourth proportional to 24,920.96, 34,390.80 and 13,742.96 is: 18,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,920.96 : 34,390.80 = 13,742.96 : x
  2. Step 2: Convert to fraction form
    24,920.96/34,390.80 = 13,742.96/x
  3. Step 3: Cross multiply
    24,920.96x = 34,390.80 × 13,742.96
  4. Step 4: Simplify right side
    24,920.96x = 472,631,388.77
  5. Step 5: Solve for x
    x = 472,631,388.77/24,920.96
  6. Step 6: Final answer
    x = 18,965.22

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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.