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Finding the Fourth Proportional to 21,338.74, 32,012.23 and 8,190.09

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Solution

The fourth proportional to 21,338.74, 32,012.23 and 8,190.09 is: 12,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.74 : 32,012.23 = 8,190.09 : x
  2. Step 2: Convert to fraction form
    21,338.74/32,012.23 = 8,190.09/x
  3. Step 3: Cross multiply
    21,338.74x = 32,012.23 × 8,190.09
  4. Step 4: Simplify right side
    21,338.74x = 262,182,966.92
  5. Step 5: Solve for x
    x = 262,182,966.92/21,338.74
  6. Step 6: Final answer
    x = 12,286.71

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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.