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Finding the Fourth Proportional to 16,034.27, 24,057.78 and 6,170.90

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Solution

The fourth proportional to 16,034.27, 24,057.78 and 6,170.90 is: 9,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.27 : 24,057.78 = 6,170.90 : x
  2. Step 2: Convert to fraction form
    16,034.27/24,057.78 = 6,170.90/x
  3. Step 3: Cross multiply
    16,034.27x = 24,057.78 × 6,170.90
  4. Step 4: Simplify right side
    16,034.27x = 148,458,011.17
  5. Step 5: Solve for x
    x = 148,458,011.17/16,034.27
  6. Step 6: Final answer
    x = 9,258.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.