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Finding the Fourth Proportional to 13,642.71, 20,462.04 and 3,780.96

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Solution

The fourth proportional to 13,642.71, 20,462.04 and 3,780.96 is: 5,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.71 : 20,462.04 = 3,780.96 : x
  2. Step 2: Convert to fraction form
    13,642.71/20,462.04 = 3,780.96/x
  3. Step 3: Cross multiply
    13,642.71x = 20,462.04 × 3,780.96
  4. Step 4: Simplify right side
    13,642.71x = 77,366,154.76
  5. Step 5: Solve for x
    x = 77,366,154.76/13,642.71
  6. Step 6: Final answer
    x = 5,670.88

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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.