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Finding the Fourth Proportional to 12,166.14, 18,161.22 and 10,689.92

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Solution

The fourth proportional to 12,166.14, 18,161.22 and 10,689.92 is: 15,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.14 : 18,161.22 = 10,689.92 : x
  2. Step 2: Convert to fraction form
    12,166.14/18,161.22 = 10,689.92/x
  3. Step 3: Cross multiply
    12,166.14x = 18,161.22 × 10,689.92
  4. Step 4: Simplify right side
    12,166.14x = 194,141,988.90
  5. Step 5: Solve for x
    x = 194,141,988.90/12,166.14
  6. Step 6: Final answer
    x = 15,957.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.