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Finding the Fourth Proportional to 22,230.24, 33,351.84 and 9,080.16

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Solution

The fourth proportional to 22,230.24, 33,351.84 and 9,080.16 is: 13,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230.24 : 33,351.84 = 9,080.16 : x
  2. Step 2: Convert to fraction form
    22,230.24/33,351.84 = 9,080.16/x
  3. Step 3: Cross multiply
    22,230.24x = 33,351.84 × 9,080.16
  4. Step 4: Simplify right side
    22,230.24x = 302,840,043.49
  5. Step 5: Solve for x
    x = 302,840,043.49/22,230.24
  6. Step 6: Final answer
    x = 13,622.89

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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.