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Finding the Fourth Proportional to 13,134.65, 18,126.27 and 7,166.66

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Solution

The fourth proportional to 13,134.65, 18,126.27 and 7,166.66 is: 9,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.65 : 18,126.27 = 7,166.66 : x
  2. Step 2: Convert to fraction form
    13,134.65/18,126.27 = 7,166.66/x
  3. Step 3: Cross multiply
    13,134.65x = 18,126.27 × 7,166.66
  4. Step 4: Simplify right side
    13,134.65x = 129,904,723.53
  5. Step 5: Solve for x
    x = 129,904,723.53/13,134.65
  6. Step 6: Final answer
    x = 9,890.23

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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.