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Finding the Fourth Proportional to 12,614.31, 18,910.14 and 5,214.03

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Solution

The fourth proportional to 12,614.31, 18,910.14 and 5,214.03 is: 7,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.31 : 18,910.14 = 5,214.03 : x
  2. Step 2: Convert to fraction form
    12,614.31/18,910.14 = 5,214.03/x
  3. Step 3: Cross multiply
    12,614.31x = 18,910.14 × 5,214.03
  4. Step 4: Simplify right side
    12,614.31x = 98,598,037.26
  5. Step 5: Solve for x
    x = 98,598,037.26/12,614.31
  6. Step 6: Final answer
    x = 7,816.36

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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.