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Finding the Fourth Proportional to 20,842.88, 31,272.98 and 8,371.74

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Solution

The fourth proportional to 20,842.88, 31,272.98 and 8,371.74 is: 12,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.88 : 31,272.98 = 8,371.74 : x
  2. Step 2: Convert to fraction form
    20,842.88/31,272.98 = 8,371.74/x
  3. Step 3: Cross multiply
    20,842.88x = 31,272.98 × 8,371.74
  4. Step 4: Simplify right side
    20,842.88x = 261,809,356.55
  5. Step 5: Solve for x
    x = 261,809,356.55/20,842.88
  6. Step 6: Final answer
    x = 12,561.10

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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.