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Finding the Fourth Proportional to 13,761.42, 20,642.13 and 3,900.71

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Solution

The fourth proportional to 13,761.42, 20,642.13 and 3,900.71 is: 5,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.42 : 20,642.13 = 3,900.71 : x
  2. Step 2: Convert to fraction form
    13,761.42/20,642.13 = 3,900.71/x
  3. Step 3: Cross multiply
    13,761.42x = 20,642.13 × 3,900.71
  4. Step 4: Simplify right side
    13,761.42x = 80,518,859.70
  5. Step 5: Solve for x
    x = 80,518,859.70/13,761.42
  6. Step 6: Final answer
    x = 5,851.06

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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.