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Finding the Fourth Proportional to 21,335.60, 31,976.40 and 8,170.40

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Solution

The fourth proportional to 21,335.60, 31,976.40 and 8,170.40 is: 12,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,335.60 : 31,976.40 = 8,170.40 : x
  2. Step 2: Convert to fraction form
    21,335.60/31,976.40 = 8,170.40/x
  3. Step 3: Cross multiply
    21,335.60x = 31,976.40 × 8,170.40
  4. Step 4: Simplify right side
    21,335.60x = 261,259,978.56
  5. Step 5: Solve for x
    x = 261,259,978.56/21,335.60
  6. Step 6: Final answer
    x = 12,245.26

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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.