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Finding the Fourth Proportional to 16,505.78, 22,777.92 and 8,952.10

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Solution

The fourth proportional to 16,505.78, 22,777.92 and 8,952.10 is: 12,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.78 : 22,777.92 = 8,952.10 : x
  2. Step 2: Convert to fraction form
    16,505.78/22,777.92 = 8,952.10/x
  3. Step 3: Cross multiply
    16,505.78x = 22,777.92 × 8,952.10
  4. Step 4: Simplify right side
    16,505.78x = 203,910,217.63
  5. Step 5: Solve for x
    x = 203,910,217.63/16,505.78
  6. Step 6: Final answer
    x = 12,353.87

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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.