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Finding the Fourth Proportional to 16,456.25, 22,709.23 and 9,382.25

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Solution

The fourth proportional to 16,456.25, 22,709.23 and 9,382.25 is: 12,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.25 : 22,709.23 = 9,382.25 : x
  2. Step 2: Convert to fraction form
    16,456.25/22,709.23 = 9,382.25/x
  3. Step 3: Cross multiply
    16,456.25x = 22,709.23 × 9,382.25
  4. Step 4: Simplify right side
    16,456.25x = 213,063,706.48
  5. Step 5: Solve for x
    x = 213,063,706.48/16,456.25
  6. Step 6: Final answer
    x = 12,947.28

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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.