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Finding the Fourth Proportional to 25,542.24, 38,270.84 and 8,893.10

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Solution

The fourth proportional to 25,542.24, 38,270.84 and 8,893.10 is: 13,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.24 : 38,270.84 = 8,893.10 : x
  2. Step 2: Convert to fraction form
    25,542.24/38,270.84 = 8,893.10/x
  3. Step 3: Cross multiply
    25,542.24x = 38,270.84 × 8,893.10
  4. Step 4: Simplify right side
    25,542.24x = 340,346,171.38
  5. Step 5: Solve for x
    x = 340,346,171.38/25,542.24
  6. Step 6: Final answer
    x = 13,324.84

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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.