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Finding the Fourth Proportional to 22,704.86, 34,049.94 and 8,277.10

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Solution

The fourth proportional to 22,704.86, 34,049.94 and 8,277.10 is: 12,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704.86 : 34,049.94 = 8,277.10 : x
  2. Step 2: Convert to fraction form
    22,704.86/34,049.94 = 8,277.10/x
  3. Step 3: Cross multiply
    22,704.86x = 34,049.94 × 8,277.10
  4. Step 4: Simplify right side
    22,704.86x = 281,834,758.37
  5. Step 5: Solve for x
    x = 281,834,758.37/22,704.86
  6. Step 6: Final answer
    x = 12,412.97

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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.