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Finding the Fourth Proportional to 24,239.96, 33,470.52 and 15,746.30

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Solution

The fourth proportional to 24,239.96, 33,470.52 and 15,746.30 is: 21,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,239.96 : 33,470.52 = 15,746.30 : x
  2. Step 2: Convert to fraction form
    24,239.96/33,470.52 = 15,746.30/x
  3. Step 3: Cross multiply
    24,239.96x = 33,470.52 × 15,746.30
  4. Step 4: Simplify right side
    24,239.96x = 527,036,849.08
  5. Step 5: Solve for x
    x = 527,036,849.08/24,239.96
  6. Step 6: Final answer
    x = 21,742.48

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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.