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Finding the Fourth Proportional to 24,658, 34,028.16 and 13,480

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Solution

The fourth proportional to 24,658, 34,028.16 and 13,480 is: 18,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658 : 34,028.16 = 13,480 : x
  2. Step 2: Convert to fraction form
    24,658/34,028.16 = 13,480/x
  3. Step 3: Cross multiply
    24,658x = 34,028.16 × 13,480
  4. Step 4: Simplify right side
    24,658x = 458,699,596.80
  5. Step 5: Solve for x
    x = 458,699,596.80/24,658
  6. Step 6: Final answer
    x = 18,602.47

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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.