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Finding the Fourth Proportional to 20,761.98, 31,147.07 and 7,614.47

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Solution

The fourth proportional to 20,761.98, 31,147.07 and 7,614.47 is: 11,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.98 : 31,147.07 = 7,614.47 : x
  2. Step 2: Convert to fraction form
    20,761.98/31,147.07 = 7,614.47/x
  3. Step 3: Cross multiply
    20,761.98x = 31,147.07 × 7,614.47
  4. Step 4: Simplify right side
    20,761.98x = 237,168,402.74
  5. Step 5: Solve for x
    x = 237,168,402.74/20,761.98
  6. Step 6: Final answer
    x = 11,423.21

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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.