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Finding the Fourth Proportional to 20,098.26, 27,757.82 and 15,615.20

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Solution

The fourth proportional to 20,098.26, 27,757.82 and 15,615.20 is: 21,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.26 : 27,757.82 = 15,615.20 : x
  2. Step 2: Convert to fraction form
    20,098.26/27,757.82 = 15,615.20/x
  3. Step 3: Cross multiply
    20,098.26x = 27,757.82 × 15,615.20
  4. Step 4: Simplify right side
    20,098.26x = 433,444,019.30
  5. Step 5: Solve for x
    x = 433,444,019.30/20,098.26
  6. Step 6: Final answer
    x = 21,566.25

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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.