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Finding the Fourth Proportional to 16,251.41, 24,378.02 and 5,159

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Solution

The fourth proportional to 16,251.41, 24,378.02 and 5,159 is: 7,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251.41 : 24,378.02 = 5,159 : x
  2. Step 2: Convert to fraction form
    16,251.41/24,378.02 = 5,159/x
  3. Step 3: Cross multiply
    16,251.41x = 24,378.02 × 5,159
  4. Step 4: Simplify right side
    16,251.41x = 125,766,205.18
  5. Step 5: Solve for x
    x = 125,766,205.18/16,251.41
  6. Step 6: Final answer
    x = 7,738.79

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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.