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Finding the Fourth Proportional to 16,091.68, 24,132.62 and 7,766.52

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Solution

The fourth proportional to 16,091.68, 24,132.62 and 7,766.52 is: 11,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.68 : 24,132.62 = 7,766.52 : x
  2. Step 2: Convert to fraction form
    16,091.68/24,132.62 = 7,766.52/x
  3. Step 3: Cross multiply
    16,091.68x = 24,132.62 × 7,766.52
  4. Step 4: Simplify right side
    16,091.68x = 187,426,475.88
  5. Step 5: Solve for x
    x = 187,426,475.88/16,091.68
  6. Step 6: Final answer
    x = 11,647.42

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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.