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Finding the Fourth Proportional to 12,220.40, 18,332.24 and 5,976.16

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Solution

The fourth proportional to 12,220.40, 18,332.24 and 5,976.16 is: 8,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.40 : 18,332.24 = 5,976.16 : x
  2. Step 2: Convert to fraction form
    12,220.40/18,332.24 = 5,976.16/x
  3. Step 3: Cross multiply
    12,220.40x = 18,332.24 × 5,976.16
  4. Step 4: Simplify right side
    12,220.40x = 109,556,399.40
  5. Step 5: Solve for x
    x = 109,556,399.40/12,220.40
  6. Step 6: Final answer
    x = 8,965.04

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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.