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Finding the Fourth Proportional to 16,308.14, 22,505.24 and 9,234.56

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Solution

The fourth proportional to 16,308.14, 22,505.24 and 9,234.56 is: 12,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.14 : 22,505.24 = 9,234.56 : x
  2. Step 2: Convert to fraction form
    16,308.14/22,505.24 = 9,234.56/x
  3. Step 3: Cross multiply
    16,308.14x = 22,505.24 × 9,234.56
  4. Step 4: Simplify right side
    16,308.14x = 207,825,999.18
  5. Step 5: Solve for x
    x = 207,825,999.18/16,308.14
  6. Step 6: Final answer
    x = 12,743.70

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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.