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Finding the Fourth Proportional to 22,678.38, 34,017.64 and 6,883.54

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Solution

The fourth proportional to 22,678.38, 34,017.64 and 6,883.54 is: 10,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.38 : 34,017.64 = 6,883.54 : x
  2. Step 2: Convert to fraction form
    22,678.38/34,017.64 = 6,883.54/x
  3. Step 3: Cross multiply
    22,678.38x = 34,017.64 × 6,883.54
  4. Step 4: Simplify right side
    22,678.38x = 234,161,785.65
  5. Step 5: Solve for x
    x = 234,161,785.65/22,678.38
  6. Step 6: Final answer
    x = 10,325.33

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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.