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Finding the Fourth Proportional to 13,642.29, 20,460.87 and 3,779.73

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Solution

The fourth proportional to 13,642.29, 20,460.87 and 3,779.73 is: 5,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.29 : 20,460.87 = 3,779.73 : x
  2. Step 2: Convert to fraction form
    13,642.29/20,460.87 = 3,779.73/x
  3. Step 3: Cross multiply
    13,642.29x = 20,460.87 × 3,779.73
  4. Step 4: Simplify right side
    13,642.29x = 77,336,564.17
  5. Step 5: Solve for x
    x = 77,336,564.17/13,642.29
  6. Step 6: Final answer
    x = 5,668.88

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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.