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Finding the Fourth Proportional to 21,343.96, 32,015.34 and 8,195.92

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Solution

The fourth proportional to 21,343.96, 32,015.34 and 8,195.92 is: 12,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.96 : 32,015.34 = 8,195.92 : x
  2. Step 2: Convert to fraction form
    21,343.96/32,015.34 = 8,195.92/x
  3. Step 3: Cross multiply
    21,343.96x = 32,015.34 × 8,195.92
  4. Step 4: Simplify right side
    21,343.96x = 262,395,165.41
  5. Step 5: Solve for x
    x = 262,395,165.41/21,343.96
  6. Step 6: Final answer
    x = 12,293.65

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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.