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Finding the Fourth Proportional to 12,614.16, 17,411.31 and 7,311.36

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Solution

The fourth proportional to 12,614.16, 17,411.31 and 7,311.36 is: 10,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.16 : 17,411.31 = 7,311.36 : x
  2. Step 2: Convert to fraction form
    12,614.16/17,411.31 = 7,311.36/x
  3. Step 3: Cross multiply
    12,614.16x = 17,411.31 × 7,311.36
  4. Step 4: Simplify right side
    12,614.16x = 127,300,355.48
  5. Step 5: Solve for x
    x = 127,300,355.48/12,614.16
  6. Step 6: Final answer
    x = 10,091.86

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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.