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Finding the Fourth Proportional to 16,456.76, 22,709.92 and 9,382.76

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Solution

The fourth proportional to 16,456.76, 22,709.92 and 9,382.76 is: 12,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.76 : 22,709.92 = 9,382.76 : x
  2. Step 2: Convert to fraction form
    16,456.76/22,709.92 = 9,382.76/x
  3. Step 3: Cross multiply
    16,456.76x = 22,709.92 × 9,382.76
  4. Step 4: Simplify right side
    16,456.76x = 213,081,568.52
  5. Step 5: Solve for x
    x = 213,081,568.52/16,456.76
  6. Step 6: Final answer
    x = 12,947.97

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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.