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Finding the Fourth Proportional to 20,498.40, 30,757.20 and 10,648.80

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Solution

The fourth proportional to 20,498.40, 30,757.20 and 10,648.80 is: 15,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.40 : 30,757.20 = 10,648.80 : x
  2. Step 2: Convert to fraction form
    20,498.40/30,757.20 = 10,648.80/x
  3. Step 3: Cross multiply
    20,498.40x = 30,757.20 × 10,648.80
  4. Step 4: Simplify right side
    20,498.40x = 327,527,271.36
  5. Step 5: Solve for x
    x = 327,527,271.36/20,498.40
  6. Step 6: Final answer
    x = 15,978.19

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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.