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Finding the Fourth Proportional to 12,407.72, 17,140.07 and 11,286.68

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Solution

The fourth proportional to 12,407.72, 17,140.07 and 11,286.68 is: 15,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.72 : 17,140.07 = 11,286.68 : x
  2. Step 2: Convert to fraction form
    12,407.72/17,140.07 = 11,286.68/x
  3. Step 3: Cross multiply
    12,407.72x = 17,140.07 × 11,286.68
  4. Step 4: Simplify right side
    12,407.72x = 193,454,343.13
  5. Step 5: Solve for x
    x = 193,454,343.13/12,407.72
  6. Step 6: Final answer
    x = 15,591.46

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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.