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Finding the Fourth Proportional to 21,338.58, 31,986 and 8,187.42

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Solution

The fourth proportional to 21,338.58, 31,986 and 8,187.42 is: 12,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.58 : 31,986 = 8,187.42 : x
  2. Step 2: Convert to fraction form
    21,338.58/31,986 = 8,187.42/x
  3. Step 3: Cross multiply
    21,338.58x = 31,986 × 8,187.42
  4. Step 4: Simplify right side
    21,338.58x = 261,882,816.12
  5. Step 5: Solve for x
    x = 261,882,816.12/21,338.58
  6. Step 6: Final answer
    x = 12,272.74

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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.