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Finding the Fourth Proportional to 12,614.67, 18,908.24 and 5,215.19

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Solution

The fourth proportional to 12,614.67, 18,908.24 and 5,215.19 is: 7,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.67 : 18,908.24 = 5,215.19 : x
  2. Step 2: Convert to fraction form
    12,614.67/18,908.24 = 5,215.19/x
  3. Step 3: Cross multiply
    12,614.67x = 18,908.24 × 5,215.19
  4. Step 4: Simplify right side
    12,614.67x = 98,609,943.55
  5. Step 5: Solve for x
    x = 98,609,943.55/12,614.67
  6. Step 6: Final answer
    x = 7,817.08

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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.