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Finding the Fourth Proportional to 20,494.88, 28,280.58 and 11,542.16

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Solution

The fourth proportional to 20,494.88, 28,280.58 and 11,542.16 is: 15,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.88 : 28,280.58 = 11,542.16 : x
  2. Step 2: Convert to fraction form
    20,494.88/28,280.58 = 11,542.16/x
  3. Step 3: Cross multiply
    20,494.88x = 28,280.58 × 11,542.16
  4. Step 4: Simplify right side
    20,494.88x = 326,418,979.25
  5. Step 5: Solve for x
    x = 326,418,979.25/20,494.88
  6. Step 6: Final answer
    x = 15,926.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.