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Finding the Fourth Proportional to 22,857.60, 34,286.34 and 7,275.18

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Solution

The fourth proportional to 22,857.60, 34,286.34 and 7,275.18 is: 10,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.60 : 34,286.34 = 7,275.18 : x
  2. Step 2: Convert to fraction form
    22,857.60/34,286.34 = 7,275.18/x
  3. Step 3: Cross multiply
    22,857.60x = 34,286.34 × 7,275.18
  4. Step 4: Simplify right side
    22,857.60x = 249,439,295.04
  5. Step 5: Solve for x
    x = 249,439,295.04/22,857.60
  6. Step 6: Final answer
    x = 10,912.75

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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.