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Finding the Fourth Proportional to 22,349.70, 33,524.61 and 8,312.81

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Solution

The fourth proportional to 22,349.70, 33,524.61 and 8,312.81 is: 12,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.70 : 33,524.61 = 8,312.81 : x
  2. Step 2: Convert to fraction form
    22,349.70/33,524.61 = 8,312.81/x
  3. Step 3: Cross multiply
    22,349.70x = 33,524.61 × 8,312.81
  4. Step 4: Simplify right side
    22,349.70x = 278,683,545.63
  5. Step 5: Solve for x
    x = 278,683,545.63/22,349.70
  6. Step 6: Final answer
    x = 12,469.23

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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.