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Finding the Fourth Proportional to 24,032.76, 36,032.16 and 9,229.20

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Solution

The fourth proportional to 24,032.76, 36,032.16 and 9,229.20 is: 13,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.76 : 36,032.16 = 9,229.20 : x
  2. Step 2: Convert to fraction form
    24,032.76/36,032.16 = 9,229.20/x
  3. Step 3: Cross multiply
    24,032.76x = 36,032.16 × 9,229.20
  4. Step 4: Simplify right side
    24,032.76x = 332,548,011.07
  5. Step 5: Solve for x
    x = 332,548,011.07/24,032.76
  6. Step 6: Final answer
    x = 13,837.28

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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.