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Finding the Fourth Proportional to 23,354.31, 32,229.73 and 12,744.52

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Solution

The fourth proportional to 23,354.31, 32,229.73 and 12,744.52 is: 17,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354.31 : 32,229.73 = 12,744.52 : x
  2. Step 2: Convert to fraction form
    23,354.31/32,229.73 = 12,744.52/x
  3. Step 3: Cross multiply
    23,354.31x = 32,229.73 × 12,744.52
  4. Step 4: Simplify right side
    23,354.31x = 410,752,483.54
  5. Step 5: Solve for x
    x = 410,752,483.54/23,354.31
  6. Step 6: Final answer
    x = 17,587.87

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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.