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Finding the Fourth Proportional to 24,127.50, 33,296.04 and 15,744

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Solution

The fourth proportional to 24,127.50, 33,296.04 and 15,744 is: 21,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,127.50 : 33,296.04 = 15,744 : x
  2. Step 2: Convert to fraction form
    24,127.50/33,296.04 = 15,744/x
  3. Step 3: Cross multiply
    24,127.50x = 33,296.04 × 15,744
  4. Step 4: Simplify right side
    24,127.50x = 524,212,853.76
  5. Step 5: Solve for x
    x = 524,212,853.76/24,127.50
  6. Step 6: Final answer
    x = 21,726.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.