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Finding the Fourth Proportional to 22,857.67, 34,286.37 and 8,628.81

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Solution

The fourth proportional to 22,857.67, 34,286.37 and 8,628.81 is: 12,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.67 : 34,286.37 = 8,628.81 : x
  2. Step 2: Convert to fraction form
    22,857.67/34,286.37 = 8,628.81/x
  3. Step 3: Cross multiply
    22,857.67x = 34,286.37 × 8,628.81
  4. Step 4: Simplify right side
    22,857.67x = 295,850,572.32
  5. Step 5: Solve for x
    x = 295,850,572.32/22,857.67
  6. Step 6: Final answer
    x = 12,943.16

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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.