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Finding the Fourth Proportional to 16,197.01, 24,290.85 and 6,839.14

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Solution

The fourth proportional to 16,197.01, 24,290.85 and 6,839.14 is: 10,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.01 : 24,290.85 = 6,839.14 : x
  2. Step 2: Convert to fraction form
    16,197.01/24,290.85 = 6,839.14/x
  3. Step 3: Cross multiply
    16,197.01x = 24,290.85 × 6,839.14
  4. Step 4: Simplify right side
    16,197.01x = 166,128,523.87
  5. Step 5: Solve for x
    x = 166,128,523.87/16,197.01
  6. Step 6: Final answer
    x = 10,256.74

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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.