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Finding the Fourth Proportional to 22,082.50, 30,474.24 and 12,011.16

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Solution

The fourth proportional to 22,082.50, 30,474.24 and 12,011.16 is: 16,575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.50 : 30,474.24 = 12,011.16 : x
  2. Step 2: Convert to fraction form
    22,082.50/30,474.24 = 12,011.16/x
  3. Step 3: Cross multiply
    22,082.50x = 30,474.24 × 12,011.16
  4. Step 4: Simplify right side
    22,082.50x = 366,030,972.52
  5. Step 5: Solve for x
    x = 366,030,972.52/22,082.50
  6. Step 6: Final answer
    x = 16,575.61

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1.5x scale

Why These Related Problems?

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