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Finding the Fourth Proportional to 17,641.68, 26,464.80 and 5,791.38

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Solution

The fourth proportional to 17,641.68, 26,464.80 and 5,791.38 is: 8,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.68 : 26,464.80 = 5,791.38 : x
  2. Step 2: Convert to fraction form
    17,641.68/26,464.80 = 5,791.38/x
  3. Step 3: Cross multiply
    17,641.68x = 26,464.80 × 5,791.38
  4. Step 4: Simplify right side
    17,641.68x = 153,267,713.42
  5. Step 5: Solve for x
    x = 153,267,713.42/17,641.68
  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.