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Finding the Fourth Proportional to 22,082.82, 30,478.86 and 13,589.16

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Solution

The fourth proportional to 22,082.82, 30,478.86 and 13,589.16 is: 18,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.82 : 30,478.86 = 13,589.16 : x
  2. Step 2: Convert to fraction form
    22,082.82/30,478.86 = 13,589.16/x
  3. Step 3: Cross multiply
    22,082.82x = 30,478.86 × 13,589.16
  4. Step 4: Simplify right side
    22,082.82x = 414,182,105.16
  5. Step 5: Solve for x
    x = 414,182,105.16/22,082.82
  6. Step 6: Final answer
    x = 18,755.85

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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.