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Finding the Fourth Proportional to 21,781.88, 32,672.70 and 6,199.52

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Solution

The fourth proportional to 21,781.88, 32,672.70 and 6,199.52 is: 9,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.88 : 32,672.70 = 6,199.52 : x
  2. Step 2: Convert to fraction form
    21,781.88/32,672.70 = 6,199.52/x
  3. Step 3: Cross multiply
    21,781.88x = 32,672.70 × 6,199.52
  4. Step 4: Simplify right side
    21,781.88x = 202,555,057.10
  5. Step 5: Solve for x
    x = 202,555,057.10/21,781.88
  6. Step 6: Final answer
    x = 9,299.25

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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.