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Finding the Fourth Proportional to 19,646.12, 29,469.18 and 5,791.88

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Solution

The fourth proportional to 19,646.12, 29,469.18 and 5,791.88 is: 8,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.12 : 29,469.18 = 5,791.88 : x
  2. Step 2: Convert to fraction form
    19,646.12/29,469.18 = 5,791.88/x
  3. Step 3: Cross multiply
    19,646.12x = 29,469.18 × 5,791.88
  4. Step 4: Simplify right side
    19,646.12x = 170,681,954.26
  5. Step 5: Solve for x
    x = 170,681,954.26/19,646.12
  6. Step 6: Final answer
    x = 8,687.82

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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.