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Finding the Fourth Proportional to 16,195.68, 24,296.76 and 5,808.24

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Solution

The fourth proportional to 16,195.68, 24,296.76 and 5,808.24 is: 8,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.68 : 24,296.76 = 5,808.24 : x
  2. Step 2: Convert to fraction form
    16,195.68/24,296.76 = 5,808.24/x
  3. Step 3: Cross multiply
    16,195.68x = 24,296.76 × 5,808.24
  4. Step 4: Simplify right side
    16,195.68x = 141,121,413.30
  5. Step 5: Solve for x
    x = 141,121,413.30/16,195.68
  6. Step 6: Final answer
    x = 8,713.52

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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.