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Finding the Fourth Proportional to 21,754.74, 32,625.21 and 13,422.27

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Solution

The fourth proportional to 21,754.74, 32,625.21 and 13,422.27 is: 20,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754.74 : 32,625.21 = 13,422.27 : x
  2. Step 2: Convert to fraction form
    21,754.74/32,625.21 = 13,422.27/x
  3. Step 3: Cross multiply
    21,754.74x = 32,625.21 × 13,422.27
  4. Step 4: Simplify right side
    21,754.74x = 437,904,377.43
  5. Step 5: Solve for x
    x = 437,904,377.43/21,754.74
  6. Step 6: Final answer
    x = 20,129.15

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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.