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Finding the Fourth Proportional to 20,468.22, 30,542.70 and 18,261.78

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Solution

The fourth proportional to 20,468.22, 30,542.70 and 18,261.78 is: 27,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.22 : 30,542.70 = 18,261.78 : x
  2. Step 2: Convert to fraction form
    20,468.22/30,542.70 = 18,261.78/x
  3. Step 3: Cross multiply
    20,468.22x = 30,542.70 × 18,261.78
  4. Step 4: Simplify right side
    20,468.22x = 557,764,068.01
  5. Step 5: Solve for x
    x = 557,764,068.01/20,468.22
  6. Step 6: Final answer
    x = 27,250.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.