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Finding the Fourth Proportional to 18,099.80, 27,159.42 and 7,709.12

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Solution

The fourth proportional to 18,099.80, 27,159.42 and 7,709.12 is: 11,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,099.80 : 27,159.42 = 7,709.12 : x
  2. Step 2: Convert to fraction form
    18,099.80/27,159.42 = 7,709.12/x
  3. Step 3: Cross multiply
    18,099.80x = 27,159.42 × 7,709.12
  4. Step 4: Simplify right side
    18,099.80x = 209,375,227.91
  5. Step 5: Solve for x
    x = 209,375,227.91/18,099.80
  6. Step 6: Final answer
    x = 11,567.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.