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Finding the Fourth Proportional to 21,338.44, 32,003.10 and 8,186.20

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Solution

The fourth proportional to 21,338.44, 32,003.10 and 8,186.20 is: 12,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.44 : 32,003.10 = 8,186.20 : x
  2. Step 2: Convert to fraction form
    21,338.44/32,003.10 = 8,186.20/x
  3. Step 3: Cross multiply
    21,338.44x = 32,003.10 × 8,186.20
  4. Step 4: Simplify right side
    21,338.44x = 261,983,777.22
  5. Step 5: Solve for x
    x = 261,983,777.22/21,338.44
  6. Step 6: Final answer
    x = 12,277.55

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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.