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Finding the Fourth Proportional to 21,874.44, 32,813.82 and 6,294.36

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Solution

The fourth proportional to 21,874.44, 32,813.82 and 6,294.36 is: 9,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.44 : 32,813.82 = 6,294.36 : x
  2. Step 2: Convert to fraction form
    21,874.44/32,813.82 = 6,294.36/x
  3. Step 3: Cross multiply
    21,874.44x = 32,813.82 × 6,294.36
  4. Step 4: Simplify right side
    21,874.44x = 206,541,996.06
  5. Step 5: Solve for x
    x = 206,541,996.06/21,874.44
  6. Step 6: Final answer
    x = 9,442.16

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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.