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Finding the Fourth Proportional to 22,857.91, 34,286.45 and 7,275.13

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Solution

The fourth proportional to 22,857.91, 34,286.45 and 7,275.13 is: 10,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.91 : 34,286.45 = 7,275.13 : x
  2. Step 2: Convert to fraction form
    22,857.91/34,286.45 = 7,275.13/x
  3. Step 3: Cross multiply
    22,857.91x = 34,286.45 × 7,275.13
  4. Step 4: Simplify right side
    22,857.91x = 249,438,380.99
  5. Step 5: Solve for x
    x = 249,438,380.99/22,857.91
  6. Step 6: Final answer
    x = 10,912.56

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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.