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Finding the Fourth Proportional to 16,008.92, 24,019.68 and 8,107.10

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Solution

The fourth proportional to 16,008.92, 24,019.68 and 8,107.10 is: 12,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.92 : 24,019.68 = 8,107.10 : x
  2. Step 2: Convert to fraction form
    16,008.92/24,019.68 = 8,107.10/x
  3. Step 3: Cross multiply
    16,008.92x = 24,019.68 × 8,107.10
  4. Step 4: Simplify right side
    16,008.92x = 194,729,947.73
  5. Step 5: Solve for x
    x = 194,729,947.73/16,008.92
  6. Step 6: Final answer
    x = 12,163.84

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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.