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Finding the Fourth Proportional to 12,614.67, 17,404.47 and 7,309.31

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Solution

The fourth proportional to 12,614.67, 17,404.47 and 7,309.31 is: 10,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.67 : 17,404.47 = 7,309.31 : x
  2. Step 2: Convert to fraction form
    12,614.67/17,404.47 = 7,309.31/x
  3. Step 3: Cross multiply
    12,614.67x = 17,404.47 × 7,309.31
  4. Step 4: Simplify right side
    12,614.67x = 127,214,579.59
  5. Step 5: Solve for x
    x = 127,214,579.59/12,614.67
  6. Step 6: Final answer
    x = 10,084.65

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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.