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Finding the Fourth Proportional to 16,086.15, 24,144.81 and 7,772.11

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Solution

The fourth proportional to 16,086.15, 24,144.81 and 7,772.11 is: 11,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.15 : 24,144.81 = 7,772.11 : x
  2. Step 2: Convert to fraction form
    16,086.15/24,144.81 = 7,772.11/x
  3. Step 3: Cross multiply
    16,086.15x = 24,144.81 × 7,772.11
  4. Step 4: Simplify right side
    16,086.15x = 187,656,119.25
  5. Step 5: Solve for x
    x = 187,656,119.25/16,086.15
  6. Step 6: Final answer
    x = 11,665.69

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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.