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Finding the Fourth Proportional to 14,064.87, 19,408.89 and 7,691.31

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Solution

The fourth proportional to 14,064.87, 19,408.89 and 7,691.31 is: 10,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.87 : 19,408.89 = 7,691.31 : x
  2. Step 2: Convert to fraction form
    14,064.87/19,408.89 = 7,691.31/x
  3. Step 3: Cross multiply
    14,064.87x = 19,408.89 × 7,691.31
  4. Step 4: Simplify right side
    14,064.87x = 149,279,789.75
  5. Step 5: Solve for x
    x = 149,279,789.75/14,064.87
  6. Step 6: Final answer
    x = 10,613.66

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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.