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Finding the Fourth Proportional to 24,727, 34,124.88 and 13,549

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Solution

The fourth proportional to 24,727, 34,124.88 and 13,549 is: 18,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727 : 34,124.88 = 13,549 : x
  2. Step 2: Convert to fraction form
    24,727/34,124.88 = 13,549/x
  3. Step 3: Cross multiply
    24,727x = 34,124.88 × 13,549
  4. Step 4: Simplify right side
    24,727x = 462,357,999.12
  5. Step 5: Solve for x
    x = 462,357,999.12/24,727
  6. Step 6: Final answer
    x = 18,698.51

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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.