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Finding the Fourth Proportional to 12,154.25, 18,218.62 and 6,882.67

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Solution

The fourth proportional to 12,154.25, 18,218.62 and 6,882.67 is: 10,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.25 : 18,218.62 = 6,882.67 : x
  2. Step 2: Convert to fraction form
    12,154.25/18,218.62 = 6,882.67/x
  3. Step 3: Cross multiply
    12,154.25x = 18,218.62 × 6,882.67
  4. Step 4: Simplify right side
    12,154.25x = 125,392,780.69
  5. Step 5: Solve for x
    x = 125,392,780.69/12,154.25
  6. Step 6: Final answer
    x = 10,316.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.