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Finding the Fourth Proportional to 21,387.60, 32,020.65 and 20,223.90

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Solution

The fourth proportional to 21,387.60, 32,020.65 and 20,223.90 is: 30,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387.60 : 32,020.65 = 20,223.90 : x
  2. Step 2: Convert to fraction form
    21,387.60/32,020.65 = 20,223.90/x
  3. Step 3: Cross multiply
    21,387.60x = 32,020.65 × 20,223.90
  4. Step 4: Simplify right side
    21,387.60x = 647,582,423.54
  5. Step 5: Solve for x
    x = 647,582,423.54/21,387.60
  6. Step 6: Final answer
    x = 30,278.41

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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.