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Finding the Fourth Proportional to 21,819.10, 32,728.65 and 20,215.30

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Solution

The fourth proportional to 21,819.10, 32,728.65 and 20,215.30 is: 30,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,819.10 : 32,728.65 = 20,215.30 : x
  2. Step 2: Convert to fraction form
    21,819.10/32,728.65 = 20,215.30/x
  3. Step 3: Cross multiply
    21,819.10x = 32,728.65 × 20,215.30
  4. Step 4: Simplify right side
    21,819.10x = 661,619,478.35
  5. Step 5: Solve for x
    x = 661,619,478.35/21,819.10
  6. Step 6: Final answer
    x = 30,322.95

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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.