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Finding the Fourth Proportional to 22,832.72, 34,235.39 and 9,489.66

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Solution

The fourth proportional to 22,832.72, 34,235.39 and 9,489.66 is: 14,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.72 : 34,235.39 = 9,489.66 : x
  2. Step 2: Convert to fraction form
    22,832.72/34,235.39 = 9,489.66/x
  3. Step 3: Cross multiply
    22,832.72x = 34,235.39 × 9,489.66
  4. Step 4: Simplify right side
    22,832.72x = 324,882,106.41
  5. Step 5: Solve for x
    x = 324,882,106.41/22,832.72
  6. Step 6: Final answer
    x = 14,228.80

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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.