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Finding the Fourth Proportional to 23,266.72, 34,891.74 and 8,471.80

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Solution

The fourth proportional to 23,266.72, 34,891.74 and 8,471.80 is: 12,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,266.72 : 34,891.74 = 8,471.80 : x
  2. Step 2: Convert to fraction form
    23,266.72/34,891.74 = 8,471.80/x
  3. Step 3: Cross multiply
    23,266.72x = 34,891.74 × 8,471.80
  4. Step 4: Simplify right side
    23,266.72x = 295,595,842.93
  5. Step 5: Solve for x
    x = 295,595,842.93/23,266.72
  6. Step 6: Final answer
    x = 12,704.66

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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.