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Finding the Fourth Proportional to 12,221.92, 18,322.62 and 8,513.20

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Solution

The fourth proportional to 12,221.92, 18,322.62 and 8,513.20 is: 12,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.92 : 18,322.62 = 8,513.20 : x
  2. Step 2: Convert to fraction form
    12,221.92/18,322.62 = 8,513.20/x
  3. Step 3: Cross multiply
    12,221.92x = 18,322.62 × 8,513.20
  4. Step 4: Simplify right side
    12,221.92x = 155,984,128.58
  5. Step 5: Solve for x
    x = 155,984,128.58/12,221.92
  6. Step 6: Final answer
    x = 12,762.65

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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.