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Finding the Fourth Proportional to 20,883.60, 31,321.80 and 7,729.20

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Solution

The fourth proportional to 20,883.60, 31,321.80 and 7,729.20 is: 11,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.60 : 31,321.80 = 7,729.20 : x
  2. Step 2: Convert to fraction form
    20,883.60/31,321.80 = 7,729.20/x
  3. Step 3: Cross multiply
    20,883.60x = 31,321.80 × 7,729.20
  4. Step 4: Simplify right side
    20,883.60x = 242,092,456.56
  5. Step 5: Solve for x
    x = 242,092,456.56/20,883.60
  6. Step 6: Final answer
    x = 11,592.47

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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.