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Finding the Fourth Proportional to 21,726.40, 32,546.40 and 20,171.20

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Solution

The fourth proportional to 21,726.40, 32,546.40 and 20,171.20 is: 30,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726.40 : 32,546.40 = 20,171.20 : x
  2. Step 2: Convert to fraction form
    21,726.40/32,546.40 = 20,171.20/x
  3. Step 3: Cross multiply
    21,726.40x = 32,546.40 × 20,171.20
  4. Step 4: Simplify right side
    21,726.40x = 656,499,943.68
  5. Step 5: Solve for x
    x = 656,499,943.68/21,726.40
  6. Step 6: Final answer
    x = 30,216.69

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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.