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Finding the Fourth Proportional to 20,742.76, 31,111.50 and 8,255.56

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Solution

The fourth proportional to 20,742.76, 31,111.50 and 8,255.56 is: 12,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.76 : 31,111.50 = 8,255.56 : x
  2. Step 2: Convert to fraction form
    20,742.76/31,111.50 = 8,255.56/x
  3. Step 3: Cross multiply
    20,742.76x = 31,111.50 × 8,255.56
  4. Step 4: Simplify right side
    20,742.76x = 256,842,854.94
  5. Step 5: Solve for x
    x = 256,842,854.94/20,742.76
  6. Step 6: Final answer
    x = 12,382.29

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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.