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Finding the Fourth Proportional to 24,032.17, 36,023.13 and 8,232.52

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Solution

The fourth proportional to 24,032.17, 36,023.13 and 8,232.52 is: 12,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.17 : 36,023.13 = 8,232.52 : x
  2. Step 2: Convert to fraction form
    24,032.17/36,023.13 = 8,232.52/x
  3. Step 3: Cross multiply
    24,032.17x = 36,023.13 × 8,232.52
  4. Step 4: Simplify right side
    24,032.17x = 296,561,138.19
  5. Step 5: Solve for x
    x = 296,561,138.19/24,032.17
  6. Step 6: Final answer
    x = 12,340.17

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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.