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Finding the Fourth Proportional to 22,082.50, 33,126.84 and 8,039.92

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Solution

The fourth proportional to 22,082.50, 33,126.84 and 8,039.92 is: 12,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.50 : 33,126.84 = 8,039.92 : x
  2. Step 2: Convert to fraction form
    22,082.50/33,126.84 = 8,039.92/x
  3. Step 3: Cross multiply
    22,082.50x = 33,126.84 × 8,039.92
  4. Step 4: Simplify right side
    22,082.50x = 266,337,143.45
  5. Step 5: Solve for x
    x = 266,337,143.45/22,082.50
  6. Step 6: Final answer
    x = 12,061.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.