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Finding the Fourth Proportional to 22,722.68, 34,084.49 and 6,082.70

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Solution

The fourth proportional to 22,722.68, 34,084.49 and 6,082.70 is: 9,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722.68 : 34,084.49 = 6,082.70 : x
  2. Step 2: Convert to fraction form
    22,722.68/34,084.49 = 6,082.70/x
  3. Step 3: Cross multiply
    22,722.68x = 34,084.49 × 6,082.70
  4. Step 4: Simplify right side
    22,722.68x = 207,325,526.49
  5. Step 5: Solve for x
    x = 207,325,526.49/22,722.68
  6. Step 6: Final answer
    x = 9,124.17

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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.