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Finding the Fourth Proportional to 12,142.19, 16,755.17 and 8,957.22

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Solution

The fourth proportional to 12,142.19, 16,755.17 and 8,957.22 is: 12,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.19 : 16,755.17 = 8,957.22 : x
  2. Step 2: Convert to fraction form
    12,142.19/16,755.17 = 8,957.22/x
  3. Step 3: Cross multiply
    12,142.19x = 16,755.17 × 8,957.22
  4. Step 4: Simplify right side
    12,142.19x = 150,079,743.83
  5. Step 5: Solve for x
    x = 150,079,743.83/12,142.19
  6. Step 6: Final answer
    x = 12,360.19

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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.