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Finding the Fourth Proportional to 21,881.44, 32,832.96 and 9,397.90

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Solution

The fourth proportional to 21,881.44, 32,832.96 and 9,397.90 is: 14,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.44 : 32,832.96 = 9,397.90 : x
  2. Step 2: Convert to fraction form
    21,881.44/32,832.96 = 9,397.90/x
  3. Step 3: Cross multiply
    21,881.44x = 32,832.96 × 9,397.90
  4. Step 4: Simplify right side
    21,881.44x = 308,560,874.78
  5. Step 5: Solve for x
    x = 308,560,874.78/21,881.44
  6. Step 6: Final answer
    x = 14,101.49

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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.