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Finding the Fourth Proportional to 21,278.64, 31,917.90 and 8,132.34

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Solution

The fourth proportional to 21,278.64, 31,917.90 and 8,132.34 is: 12,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.64 : 31,917.90 = 8,132.34 : x
  2. Step 2: Convert to fraction form
    21,278.64/31,917.90 = 8,132.34/x
  3. Step 3: Cross multiply
    21,278.64x = 31,917.90 × 8,132.34
  4. Step 4: Simplify right side
    21,278.64x = 259,567,214.89
  5. Step 5: Solve for x
    x = 259,567,214.89/21,278.64
  6. Step 6: Final answer
    x = 12,198.49

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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.