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Finding the Fourth Proportional to 12,207.30, 18,310.95 and 8,049.30

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Solution

The fourth proportional to 12,207.30, 18,310.95 and 8,049.30 is: 12,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.30 : 18,310.95 = 8,049.30 : x
  2. Step 2: Convert to fraction form
    12,207.30/18,310.95 = 8,049.30/x
  3. Step 3: Cross multiply
    12,207.30x = 18,310.95 × 8,049.30
  4. Step 4: Simplify right side
    12,207.30x = 147,390,329.84
  5. Step 5: Solve for x
    x = 147,390,329.84/12,207.30
  6. Step 6: Final answer
    x = 12,073.95

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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.