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Finding the Fourth Proportional to 22,182.24, 33,264.18 and 9,025.68

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Solution

The fourth proportional to 22,182.24, 33,264.18 and 9,025.68 is: 13,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.24 : 33,264.18 = 9,025.68 : x
  2. Step 2: Convert to fraction form
    22,182.24/33,264.18 = 9,025.68/x
  3. Step 3: Cross multiply
    22,182.24x = 33,264.18 × 9,025.68
  4. Step 4: Simplify right side
    22,182.24x = 300,231,844.14
  5. Step 5: Solve for x
    x = 300,231,844.14/22,182.24
  6. Step 6: Final answer
    x = 13,534.78

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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.