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Finding the Fourth Proportional to 16,082.70, 22,204.98 and 10,042.17

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Solution

The fourth proportional to 16,082.70, 22,204.98 and 10,042.17 is: 13,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.70 : 22,204.98 = 10,042.17 : x
  2. Step 2: Convert to fraction form
    16,082.70/22,204.98 = 10,042.17/x
  3. Step 3: Cross multiply
    16,082.70x = 22,204.98 × 10,042.17
  4. Step 4: Simplify right side
    16,082.70x = 222,986,184.01
  5. Step 5: Solve for x
    x = 222,986,184.01/16,082.70
  6. Step 6: Final answer
    x = 13,864.97

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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.