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Finding the Fourth Proportional to 20,575.80, 30,785.70 and 13,663.80

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Solution

The fourth proportional to 20,575.80, 30,785.70 and 13,663.80 is: 20,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.80 : 30,785.70 = 13,663.80 : x
  2. Step 2: Convert to fraction form
    20,575.80/30,785.70 = 13,663.80/x
  3. Step 3: Cross multiply
    20,575.80x = 30,785.70 × 13,663.80
  4. Step 4: Simplify right side
    20,575.80x = 420,649,647.66
  5. Step 5: Solve for x
    x = 420,649,647.66/20,575.80
  6. Step 6: Final answer
    x = 20,443.90

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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.