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Finding the Fourth Proportional to 16,475.80, 24,729.90 and 8,165.20

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Solution

The fourth proportional to 16,475.80, 24,729.90 and 8,165.20 is: 12,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.80 : 24,729.90 = 8,165.20 : x
  2. Step 2: Convert to fraction form
    16,475.80/24,729.90 = 8,165.20/x
  3. Step 3: Cross multiply
    16,475.80x = 24,729.90 × 8,165.20
  4. Step 4: Simplify right side
    16,475.80x = 201,924,579.48
  5. Step 5: Solve for x
    x = 201,924,579.48/16,475.80
  6. Step 6: Final answer
    x = 12,255.83

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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.