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Finding the Fourth Proportional to 24,728.22, 34,124.90 and 13,398

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Solution

The fourth proportional to 24,728.22, 34,124.90 and 13,398 is: 18,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.22 : 34,124.90 = 13,398 : x
  2. Step 2: Convert to fraction form
    24,728.22/34,124.90 = 13,398/x
  3. Step 3: Cross multiply
    24,728.22x = 34,124.90 × 13,398
  4. Step 4: Simplify right side
    24,728.22x = 457,205,343.21
  5. Step 5: Solve for x
    x = 457,205,343.21/24,728.22
  6. Step 6: Final answer
    x = 18,489.21

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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.