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Finding the Fourth Proportional to 22,082.97, 30,475.83 and 12,523.26

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Solution

The fourth proportional to 22,082.97, 30,475.83 and 12,523.26 is: 17,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.97 : 30,475.83 = 12,523.26 : x
  2. Step 2: Convert to fraction form
    22,082.97/30,475.83 = 12,523.26/x
  3. Step 3: Cross multiply
    22,082.97x = 30,475.83 × 12,523.26
  4. Step 4: Simplify right side
    22,082.97x = 381,656,742.81
  5. Step 5: Solve for x
    x = 381,656,742.81/22,082.97
  6. Step 6: Final answer
    x = 17,282.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.