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Finding the Fourth Proportional to 22,678.10, 34,017.22 and 6,883.26

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Solution

The fourth proportional to 22,678.10, 34,017.22 and 6,883.26 is: 10,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.10 : 34,017.22 = 6,883.26 : x
  2. Step 2: Convert to fraction form
    22,678.10/34,017.22 = 6,883.26/x
  3. Step 3: Cross multiply
    22,678.10x = 34,017.22 × 6,883.26
  4. Step 4: Simplify right side
    22,678.10x = 234,149,369.74
  5. Step 5: Solve for x
    x = 234,149,369.74/22,678.10
  6. Step 6: Final answer
    x = 10,324.91

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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.