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Finding the Fourth Proportional to 16,194.74, 24,295.14 and 5,100.57

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Solution

The fourth proportional to 16,194.74, 24,295.14 and 5,100.57 is: 7,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.74 : 24,295.14 = 5,100.57 : x
  2. Step 2: Convert to fraction form
    16,194.74/24,295.14 = 5,100.57/x
  3. Step 3: Cross multiply
    16,194.74x = 24,295.14 × 5,100.57
  4. Step 4: Simplify right side
    16,194.74x = 123,919,062.23
  5. Step 5: Solve for x
    x = 123,919,062.23/16,194.74
  6. Step 6: Final answer
    x = 7,651.81

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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.