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Finding the Fourth Proportional to 12,438.06, 17,161.62 and 9,082.68

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Solution

The fourth proportional to 12,438.06, 17,161.62 and 9,082.68 is: 12,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.06 : 17,161.62 = 9,082.68 : x
  2. Step 2: Convert to fraction form
    12,438.06/17,161.62 = 9,082.68/x
  3. Step 3: Cross multiply
    12,438.06x = 17,161.62 × 9,082.68
  4. Step 4: Simplify right side
    12,438.06x = 155,873,502.74
  5. Step 5: Solve for x
    x = 155,873,502.74/12,438.06
  6. Step 6: Final answer
    x = 12,531.98

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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.