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Finding the Fourth Proportional to 11,614.52, 16,036.14 and 8,921.24

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Solution

The fourth proportional to 11,614.52, 16,036.14 and 8,921.24 is: 12,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.52 : 16,036.14 = 8,921.24 : x
  2. Step 2: Convert to fraction form
    11,614.52/16,036.14 = 8,921.24/x
  3. Step 3: Cross multiply
    11,614.52x = 16,036.14 × 8,921.24
  4. Step 4: Simplify right side
    11,614.52x = 143,062,253.61
  5. Step 5: Solve for x
    x = 143,062,253.61/11,614.52
  6. Step 6: Final answer
    x = 12,317.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.