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Finding the Fourth Proportional to 21,481.22, 32,223.27 and 7,442.66

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Solution

The fourth proportional to 21,481.22, 32,223.27 and 7,442.66 is: 11,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481.22 : 32,223.27 = 7,442.66 : x
  2. Step 2: Convert to fraction form
    21,481.22/32,223.27 = 7,442.66/x
  3. Step 3: Cross multiply
    21,481.22x = 32,223.27 × 7,442.66
  4. Step 4: Simplify right side
    21,481.22x = 239,826,842.70
  5. Step 5: Solve for x
    x = 239,826,842.70/21,481.22
  6. Step 6: Final answer
    x = 11,164.49

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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.