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Finding the Fourth Proportional to 16,291.44, 24,436.73 and 5,198.80

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Solution

The fourth proportional to 16,291.44, 24,436.73 and 5,198.80 is: 7,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.44 : 24,436.73 = 5,198.80 : x
  2. Step 2: Convert to fraction form
    16,291.44/24,436.73 = 5,198.80/x
  3. Step 3: Cross multiply
    16,291.44x = 24,436.73 × 5,198.80
  4. Step 4: Simplify right side
    16,291.44x = 127,041,645.93
  5. Step 5: Solve for x
    x = 127,041,645.93/16,291.44
  6. Step 6: Final answer
    x = 7,798.06

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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.