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Finding the Fourth Proportional to 12,207.29, 18,290 and 8,197.15

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Solution

The fourth proportional to 12,207.29, 18,290 and 8,197.15 is: 12,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.29 : 18,290 = 8,197.15 : x
  2. Step 2: Convert to fraction form
    12,207.29/18,290 = 8,197.15/x
  3. Step 3: Cross multiply
    12,207.29x = 18,290 × 8,197.15
  4. Step 4: Simplify right side
    12,207.29x = 149,925,919.23
  5. Step 5: Solve for x
    x = 149,925,919.23/12,207.29
  6. Step 6: Final answer
    x = 12,281.68

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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.