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Finding the Fourth Proportional to 12,614.18, 17,407.89 and 7,025.30

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Solution

The fourth proportional to 12,614.18, 17,407.89 and 7,025.30 is: 9,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.18 : 17,407.89 = 7,025.30 : x
  2. Step 2: Convert to fraction form
    12,614.18/17,407.89 = 7,025.30/x
  3. Step 3: Cross multiply
    12,614.18x = 17,407.89 × 7,025.30
  4. Step 4: Simplify right side
    12,614.18x = 122,295,649.62
  5. Step 5: Solve for x
    x = 122,295,649.62/12,614.18
  6. Step 6: Final answer
    x = 9,695.09

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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.