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Finding the Fourth Proportional to 21,467.20, 32,229.60 and 13,691.20

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Solution

The fourth proportional to 21,467.20, 32,229.60 and 13,691.20 is: 20,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467.20 : 32,229.60 = 13,691.20 : x
  2. Step 2: Convert to fraction form
    21,467.20/32,229.60 = 13,691.20/x
  3. Step 3: Cross multiply
    21,467.20x = 32,229.60 × 13,691.20
  4. Step 4: Simplify right side
    21,467.20x = 441,261,899.52
  5. Step 5: Solve for x
    x = 441,261,899.52/21,467.20
  6. Step 6: Final answer
    x = 20,555.17

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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.