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Finding the Fourth Proportional to 22,752.32, 34,132.08 and 9,608.48

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Solution

The fourth proportional to 22,752.32, 34,132.08 and 9,608.48 is: 14,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.32 : 34,132.08 = 9,608.48 : x
  2. Step 2: Convert to fraction form
    22,752.32/34,132.08 = 9,608.48/x
  3. Step 3: Cross multiply
    22,752.32x = 34,132.08 × 9,608.48
  4. Step 4: Simplify right side
    22,752.32x = 327,957,408.04
  5. Step 5: Solve for x
    x = 327,957,408.04/22,752.32
  6. Step 6: Final answer
    x = 14,414.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.