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Finding the Fourth Proportional to 16,295.78, 22,487.09 and 9,221.78

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Solution

The fourth proportional to 16,295.78, 22,487.09 and 9,221.78 is: 12,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295.78 : 22,487.09 = 9,221.78 : x
  2. Step 2: Convert to fraction form
    16,295.78/22,487.09 = 9,221.78/x
  3. Step 3: Cross multiply
    16,295.78x = 22,487.09 × 9,221.78
  4. Step 4: Simplify right side
    16,295.78x = 207,371,006.93
  5. Step 5: Solve for x
    x = 207,371,006.93/16,295.78
  6. Step 6: Final answer
    x = 12,725.44

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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.