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Finding the Fourth Proportional to 22,414.32, 33,621.80 and 9,266.80

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Solution

The fourth proportional to 22,414.32, 33,621.80 and 9,266.80 is: 13,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.32 : 33,621.80 = 9,266.80 : x
  2. Step 2: Convert to fraction form
    22,414.32/33,621.80 = 9,266.80/x
  3. Step 3: Cross multiply
    22,414.32x = 33,621.80 × 9,266.80
  4. Step 4: Simplify right side
    22,414.32x = 311,566,496.24
  5. Step 5: Solve for x
    x = 311,566,496.24/22,414.32
  6. Step 6: Final answer
    x = 13,900.33

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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.