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Finding the Fourth Proportional to 22,862.40, 34,351.20 and 14,546.40

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Solution

The fourth proportional to 22,862.40, 34,351.20 and 14,546.40 is: 21,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.40 : 34,351.20 = 14,546.40 : x
  2. Step 2: Convert to fraction form
    22,862.40/34,351.20 = 14,546.40/x
  3. Step 3: Cross multiply
    22,862.40x = 34,351.20 × 14,546.40
  4. Step 4: Simplify right side
    22,862.40x = 499,686,295.68
  5. Step 5: Solve for x
    x = 499,686,295.68/22,862.40
  6. Step 6: Final answer
    x = 21,856.25

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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.