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Finding the Fourth Proportional to 24,437.28, 36,658.92 and 7,791.48

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Solution

The fourth proportional to 24,437.28, 36,658.92 and 7,791.48 is: 11,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.28 : 36,658.92 = 7,791.48 : x
  2. Step 2: Convert to fraction form
    24,437.28/36,658.92 = 7,791.48/x
  3. Step 3: Cross multiply
    24,437.28x = 36,658.92 × 7,791.48
  4. Step 4: Simplify right side
    24,437.28x = 285,627,242.00
  5. Step 5: Solve for x
    x = 285,627,242.00/24,437.28
  6. Step 6: Final answer
    x = 11,688.18

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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.