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Finding the Fourth Proportional to 12,381.85, 17,067.27 and 9,724.65

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Solution

The fourth proportional to 12,381.85, 17,067.27 and 9,724.65 is: 13,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.85 : 17,067.27 = 9,724.65 : x
  2. Step 2: Convert to fraction form
    12,381.85/17,067.27 = 9,724.65/x
  3. Step 3: Cross multiply
    12,381.85x = 17,067.27 × 9,724.65
  4. Step 4: Simplify right side
    12,381.85x = 165,973,227.21
  5. Step 5: Solve for x
    x = 165,973,227.21/12,381.85
  6. Step 6: Final answer
    x = 13,404.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.