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Finding the Fourth Proportional to 22,229.64, 33,344.51 and 9,082.02

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Solution

The fourth proportional to 22,229.64, 33,344.51 and 9,082.02 is: 13,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.64 : 33,344.51 = 9,082.02 : x
  2. Step 2: Convert to fraction form
    22,229.64/33,344.51 = 9,082.02/x
  3. Step 3: Cross multiply
    22,229.64x = 33,344.51 × 9,082.02
  4. Step 4: Simplify right side
    22,229.64x = 302,835,461.30
  5. Step 5: Solve for x
    x = 302,835,461.30/22,229.64
  6. Step 6: Final answer
    x = 13,623.05

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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.