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Finding the Fourth Proportional to 16,062.45, 24,079.82 and 7,731

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Solution

The fourth proportional to 16,062.45, 24,079.82 and 7,731 is: 11,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,062.45 : 24,079.82 = 7,731 : x
  2. Step 2: Convert to fraction form
    16,062.45/24,079.82 = 7,731/x
  3. Step 3: Cross multiply
    16,062.45x = 24,079.82 × 7,731
  4. Step 4: Simplify right side
    16,062.45x = 186,161,049.77
  5. Step 5: Solve for x
    x = 186,161,049.77/16,062.45
  6. Step 6: Final answer
    x = 11,589.83

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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.