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Finding the Fourth Proportional to 24,308.38, 36,462.56 and 7,892.38

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Solution

The fourth proportional to 24,308.38, 36,462.56 and 7,892.38 is: 11,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308.38 : 36,462.56 = 7,892.38 : x
  2. Step 2: Convert to fraction form
    24,308.38/36,462.56 = 7,892.38/x
  3. Step 3: Cross multiply
    24,308.38x = 36,462.56 × 7,892.38
  4. Step 4: Simplify right side
    24,308.38x = 287,776,216.71
  5. Step 5: Solve for x
    x = 287,776,216.71/24,308.38
  6. Step 6: Final answer
    x = 11,838.56

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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.