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Finding the Fourth Proportional to 22,232.24, 33,354.84 and 9,082.16

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Solution

The fourth proportional to 22,232.24, 33,354.84 and 9,082.16 is: 13,625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.24 : 33,354.84 = 9,082.16 : x
  2. Step 2: Convert to fraction form
    22,232.24/33,354.84 = 9,082.16/x
  3. Step 3: Cross multiply
    22,232.24x = 33,354.84 × 9,082.16
  4. Step 4: Simplify right side
    22,232.24x = 302,933,993.65
  5. Step 5: Solve for x
    x = 302,933,993.65/22,232.24
  6. Step 6: Final answer
    x = 13,625.89

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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.