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Finding the Fourth Proportional to 21,805.20, 32,707.80 and 20,120.40

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Solution

The fourth proportional to 21,805.20, 32,707.80 and 20,120.40 is: 30,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.20 : 32,707.80 = 20,120.40 : x
  2. Step 2: Convert to fraction form
    21,805.20/32,707.80 = 20,120.40/x
  3. Step 3: Cross multiply
    21,805.20x = 32,707.80 × 20,120.40
  4. Step 4: Simplify right side
    21,805.20x = 658,094,019.12
  5. Step 5: Solve for x
    x = 658,094,019.12/21,805.20
  6. Step 6: Final answer
    x = 30,180.60

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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.