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Finding the Fourth Proportional to 20,761.50, 31,142.25 and 6,169.50

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Solution

The fourth proportional to 20,761.50, 31,142.25 and 6,169.50 is: 9,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.50 : 31,142.25 = 6,169.50 : x
  2. Step 2: Convert to fraction form
    20,761.50/31,142.25 = 6,169.50/x
  3. Step 3: Cross multiply
    20,761.50x = 31,142.25 × 6,169.50
  4. Step 4: Simplify right side
    20,761.50x = 192,132,111.38
  5. Step 5: Solve for x
    x = 192,132,111.38/20,761.50
  6. Step 6: Final answer
    x = 9,254.25

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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.