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Finding the Fourth Proportional to 22,082.52, 30,473.28 and 12,524.16

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Solution

The fourth proportional to 22,082.52, 30,473.28 and 12,524.16 is: 17,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.52 : 30,473.28 = 12,524.16 : x
  2. Step 2: Convert to fraction form
    22,082.52/30,473.28 = 12,524.16/x
  3. Step 3: Cross multiply
    22,082.52x = 30,473.28 × 12,524.16
  4. Step 4: Simplify right side
    22,082.52x = 381,652,234.44
  5. Step 5: Solve for x
    x = 381,652,234.44/22,082.52
  6. Step 6: Final answer
    x = 17,283.00

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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.