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Finding the Fourth Proportional to 22,427.20, 33,640.08 and 9,275.68

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Solution

The fourth proportional to 22,427.20, 33,640.08 and 9,275.68 is: 13,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.20 : 33,640.08 = 9,275.68 : x
  2. Step 2: Convert to fraction form
    22,427.20/33,640.08 = 9,275.68/x
  3. Step 3: Cross multiply
    22,427.20x = 33,640.08 × 9,275.68
  4. Step 4: Simplify right side
    22,427.20x = 312,034,617.25
  5. Step 5: Solve for x
    x = 312,034,617.25/22,427.20
  6. Step 6: Final answer
    x = 13,913.22

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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.