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Finding the Fourth Proportional to 22,078.72, 33,117.24 and 7,287.20

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Solution

The fourth proportional to 22,078.72, 33,117.24 and 7,287.20 is: 10,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.72 : 33,117.24 = 7,287.20 : x
  2. Step 2: Convert to fraction form
    22,078.72/33,117.24 = 7,287.20/x
  3. Step 3: Cross multiply
    22,078.72x = 33,117.24 × 7,287.20
  4. Step 4: Simplify right side
    22,078.72x = 241,331,951.33
  5. Step 5: Solve for x
    x = 241,331,951.33/22,078.72
  6. Step 6: Final answer
    x = 10,930.52

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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.