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Finding the Fourth Proportional to 16,129.80, 24,195.90 and 5,740.20

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Solution

The fourth proportional to 16,129.80, 24,195.90 and 5,740.20 is: 8,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.80 : 24,195.90 = 5,740.20 : x
  2. Step 2: Convert to fraction form
    16,129.80/24,195.90 = 5,740.20/x
  3. Step 3: Cross multiply
    16,129.80x = 24,195.90 × 5,740.20
  4. Step 4: Simplify right side
    16,129.80x = 138,889,305.18
  5. Step 5: Solve for x
    x = 138,889,305.18/16,129.80
  6. Step 6: Final answer
    x = 8,610.73

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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.