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Finding the Fourth Proportional to 22,175.67, 33,270 and 8,325.75

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Solution

The fourth proportional to 22,175.67, 33,270 and 8,325.75 is: 12,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175.67 : 33,270 = 8,325.75 : x
  2. Step 2: Convert to fraction form
    22,175.67/33,270 = 8,325.75/x
  3. Step 3: Cross multiply
    22,175.67x = 33,270 × 8,325.75
  4. Step 4: Simplify right side
    22,175.67x = 276,997,702.50
  5. Step 5: Solve for x
    x = 276,997,702.50/22,175.67
  6. Step 6: Final answer
    x = 12,491.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.