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Finding the Fourth Proportional to 16,255.49, 24,378.17 and 5,164.97

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Solution

The fourth proportional to 16,255.49, 24,378.17 and 5,164.97 is: 7,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.49 : 24,378.17 = 5,164.97 : x
  2. Step 2: Convert to fraction form
    16,255.49/24,378.17 = 5,164.97/x
  3. Step 3: Cross multiply
    16,255.49x = 24,378.17 × 5,164.97
  4. Step 4: Simplify right side
    16,255.49x = 125,912,368.99
  5. Step 5: Solve for x
    x = 125,912,368.99/16,255.49
  6. Step 6: Final answer
    x = 7,745.84

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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.