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Finding the Fourth Proportional to 16,456.68, 22,709.78 and 9,382.94

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Solution

The fourth proportional to 16,456.68, 22,709.78 and 9,382.94 is: 12,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.68 : 22,709.78 = 9,382.94 : x
  2. Step 2: Convert to fraction form
    16,456.68/22,709.78 = 9,382.94/x
  3. Step 3: Cross multiply
    16,456.68x = 22,709.78 × 9,382.94
  4. Step 4: Simplify right side
    16,456.68x = 213,084,503.15
  5. Step 5: Solve for x
    x = 213,084,503.15/16,456.68
  6. Step 6: Final answer
    x = 12,948.21

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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.