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Finding the Fourth Proportional to 10,704.29, 16,032.67 and 8,220.83

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Solution

The fourth proportional to 10,704.29, 16,032.67 and 8,220.83 is: 12,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.29 : 16,032.67 = 8,220.83 : x
  2. Step 2: Convert to fraction form
    10,704.29/16,032.67 = 8,220.83/x
  3. Step 3: Cross multiply
    10,704.29x = 16,032.67 × 8,220.83
  4. Step 4: Simplify right side
    10,704.29x = 131,801,753.80
  5. Step 5: Solve for x
    x = 131,801,753.80/10,704.29
  6. Step 6: Final answer
    x = 12,312.99

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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.