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Finding the Fourth Proportional to 16,306.81, 24,453.83 and 5,772.76

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Solution

The fourth proportional to 16,306.81, 24,453.83 and 5,772.76 is: 8,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.81 : 24,453.83 = 5,772.76 : x
  2. Step 2: Convert to fraction form
    16,306.81/24,453.83 = 5,772.76/x
  3. Step 3: Cross multiply
    16,306.81x = 24,453.83 × 5,772.76
  4. Step 4: Simplify right side
    16,306.81x = 141,166,091.67
  5. Step 5: Solve for x
    x = 141,166,091.67/16,306.81
  6. Step 6: Final answer
    x = 8,656.88

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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.