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Finding the Fourth Proportional to 21,204.45, 31,822.47 and 8,082.45

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Solution

The fourth proportional to 21,204.45, 31,822.47 and 8,082.45 is: 12,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.45 : 31,822.47 = 8,082.45 : x
  2. Step 2: Convert to fraction form
    21,204.45/31,822.47 = 8,082.45/x
  3. Step 3: Cross multiply
    21,204.45x = 31,822.47 × 8,082.45
  4. Step 4: Simplify right side
    21,204.45x = 257,203,522.65
  5. Step 5: Solve for x
    x = 257,203,522.65/21,204.45
  6. Step 6: Final answer
    x = 12,129.70

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1.5x scale

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.