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Finding the Fourth Proportional to 16,456.32, 22,709.82 and 9,382.68

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Solution

The fourth proportional to 16,456.32, 22,709.82 and 9,382.68 is: 12,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.32 : 22,709.82 = 9,382.68 : x
  2. Step 2: Convert to fraction form
    16,456.32/22,709.82 = 9,382.68/x
  3. Step 3: Cross multiply
    16,456.32x = 22,709.82 × 9,382.68
  4. Step 4: Simplify right side
    16,456.32x = 213,078,973.92
  5. Step 5: Solve for x
    x = 213,078,973.92/16,456.32
  6. Step 6: Final answer
    x = 12,948.15

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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.