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Finding the Fourth Proportional to 12,217.92, 18,316.62 and 8,509.20

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Solution

The fourth proportional to 12,217.92, 18,316.62 and 8,509.20 is: 12,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.92 : 18,316.62 = 8,509.20 : x
  2. Step 2: Convert to fraction form
    12,217.92/18,316.62 = 8,509.20/x
  3. Step 3: Cross multiply
    12,217.92x = 18,316.62 × 8,509.20
  4. Step 4: Simplify right side
    12,217.92x = 155,859,782.90
  5. Step 5: Solve for x
    x = 155,859,782.90/12,217.92
  6. Step 6: Final answer
    x = 12,756.65

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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.