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Finding the Fourth Proportional to 16,199.87, 24,301.82 and 6,337.87

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Solution

The fourth proportional to 16,199.87, 24,301.82 and 6,337.87 is: 9,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.87 : 24,301.82 = 6,337.87 : x
  2. Step 2: Convert to fraction form
    16,199.87/24,301.82 = 6,337.87/x
  3. Step 3: Cross multiply
    16,199.87x = 24,301.82 × 6,337.87
  4. Step 4: Simplify right side
    16,199.87x = 154,021,731.01
  5. Step 5: Solve for x
    x = 154,021,731.01/16,199.87
  6. Step 6: Final answer
    x = 9,507.59

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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.