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Finding the Fourth Proportional to 22,882.74, 34,259.40 and 14,542.08

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Solution

The fourth proportional to 22,882.74, 34,259.40 and 14,542.08 is: 21,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.74 : 34,259.40 = 14,542.08 : x
  2. Step 2: Convert to fraction form
    22,882.74/34,259.40 = 14,542.08/x
  3. Step 3: Cross multiply
    22,882.74x = 34,259.40 × 14,542.08
  4. Step 4: Simplify right side
    22,882.74x = 498,202,935.55
  5. Step 5: Solve for x
    x = 498,202,935.55/22,882.74
  6. Step 6: Final answer
    x = 21,772.00

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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.