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Finding the Fourth Proportional to 24,032.76, 36,049.14 and 9,238.92

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Solution

The fourth proportional to 24,032.76, 36,049.14 and 9,238.92 is: 13,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.76 : 36,049.14 = 9,238.92 : x
  2. Step 2: Convert to fraction form
    24,032.76/36,049.14 = 9,238.92/x
  3. Step 3: Cross multiply
    24,032.76x = 36,049.14 × 9,238.92
  4. Step 4: Simplify right side
    24,032.76x = 333,055,120.53
  5. Step 5: Solve for x
    x = 333,055,120.53/24,032.76
  6. Step 6: Final answer
    x = 13,858.38

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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.