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Finding the Fourth Proportional to 22,862.40, 34,278.80 and 9,711.20

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Solution

The fourth proportional to 22,862.40, 34,278.80 and 9,711.20 is: 14,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.40 : 34,278.80 = 9,711.20 : x
  2. Step 2: Convert to fraction form
    22,862.40/34,278.80 = 9,711.20/x
  3. Step 3: Cross multiply
    22,862.40x = 34,278.80 × 9,711.20
  4. Step 4: Simplify right side
    22,862.40x = 332,888,282.56
  5. Step 5: Solve for x
    x = 332,888,282.56/22,862.40
  6. Step 6: Final answer
    x = 14,560.51

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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.