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Finding the Fourth Proportional to 16,342.96, 22,553.82 and 9,269.20

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Solution

The fourth proportional to 16,342.96, 22,553.82 and 9,269.20 is: 12,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.96 : 22,553.82 = 9,269.20 : x
  2. Step 2: Convert to fraction form
    16,342.96/22,553.82 = 9,269.20/x
  3. Step 3: Cross multiply
    16,342.96x = 22,553.82 × 9,269.20
  4. Step 4: Simplify right side
    16,342.96x = 209,055,868.34
  5. Step 5: Solve for x
    x = 209,055,868.34/16,342.96
  6. Step 6: Final answer
    x = 12,791.80

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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.