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Finding the Fourth Proportional to 22,864.29, 34,297.78 and 8,824.39

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Solution

The fourth proportional to 22,864.29, 34,297.78 and 8,824.39 is: 13,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.29 : 34,297.78 = 8,824.39 : x
  2. Step 2: Convert to fraction form
    22,864.29/34,297.78 = 8,824.39/x
  3. Step 3: Cross multiply
    22,864.29x = 34,297.78 × 8,824.39
  4. Step 4: Simplify right side
    22,864.29x = 302,656,942.73
  5. Step 5: Solve for x
    x = 302,656,942.73/22,864.29
  6. Step 6: Final answer
    x = 13,237.10

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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.