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Finding the Fourth Proportional to 12,414.87, 17,132.21 and 7,109.37

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Solution

The fourth proportional to 12,414.87, 17,132.21 and 7,109.37 is: 9,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.87 : 17,132.21 = 7,109.37 : x
  2. Step 2: Convert to fraction form
    12,414.87/17,132.21 = 7,109.37/x
  3. Step 3: Cross multiply
    12,414.87x = 17,132.21 × 7,109.37
  4. Step 4: Simplify right side
    12,414.87x = 121,799,210.92
  5. Step 5: Solve for x
    x = 121,799,210.92/12,414.87
  6. Step 6: Final answer
    x = 9,810.75

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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.