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Finding the Fourth Proportional to 27,107.18, 40,658.37 and 9,576.14

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Solution

The fourth proportional to 27,107.18, 40,658.37 and 9,576.14 is: 14,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.18 : 40,658.37 = 9,576.14 : x
  2. Step 2: Convert to fraction form
    27,107.18/40,658.37 = 9,576.14/x
  3. Step 3: Cross multiply
    27,107.18x = 40,658.37 × 9,576.14
  4. Step 4: Simplify right side
    27,107.18x = 389,350,243.29
  5. Step 5: Solve for x
    x = 389,350,243.29/27,107.18
  6. Step 6: Final answer
    x = 14,363.36

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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.