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Finding the Fourth Proportional to 24,687, 34,068.92 and 13,509

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Solution

The fourth proportional to 24,687, 34,068.92 and 13,509 is: 18,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687 : 34,068.92 = 13,509 : x
  2. Step 2: Convert to fraction form
    24,687/34,068.92 = 13,509/x
  3. Step 3: Cross multiply
    24,687x = 34,068.92 × 13,509
  4. Step 4: Simplify right side
    24,687x = 460,236,972.74
  5. Step 5: Solve for x
    x = 460,236,972.74/24,687
  6. Step 6: Final answer
    x = 18,642.89

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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.