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Finding the Fourth Proportional to 12,614.06, 17,407.41 and 7,025.06

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Solution

The fourth proportional to 12,614.06, 17,407.41 and 7,025.06 is: 9,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.06 : 17,407.41 = 7,025.06 : x
  2. Step 2: Convert to fraction form
    12,614.06/17,407.41 = 7,025.06/x
  3. Step 3: Cross multiply
    12,614.06x = 17,407.41 × 7,025.06
  4. Step 4: Simplify right side
    12,614.06x = 122,288,116.87
  5. Step 5: Solve for x
    x = 122,288,116.87/12,614.06
  6. Step 6: Final answer
    x = 9,694.59

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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.