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Finding the Fourth Proportional to 12,614.87, 17,408.16 and 7,238.21

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Solution

The fourth proportional to 12,614.87, 17,408.16 and 7,238.21 is: 9,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.87 : 17,408.16 = 7,238.21 : x
  2. Step 2: Convert to fraction form
    12,614.87/17,408.16 = 7,238.21/x
  3. Step 3: Cross multiply
    12,614.87x = 17,408.16 × 7,238.21
  4. Step 4: Simplify right side
    12,614.87x = 126,003,917.79
  5. Step 5: Solve for x
    x = 126,003,917.79/12,614.87
  6. Step 6: Final answer
    x = 9,988.52

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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.