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Finding the Fourth Proportional to 21,281.14, 31,920.49 and 8,134.84

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Solution

The fourth proportional to 21,281.14, 31,920.49 and 8,134.84 is: 12,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,281.14 : 31,920.49 = 8,134.84 : x
  2. Step 2: Convert to fraction form
    21,281.14/31,920.49 = 8,134.84/x
  3. Step 3: Cross multiply
    21,281.14x = 31,920.49 × 8,134.84
  4. Step 4: Simplify right side
    21,281.14x = 259,668,078.87
  5. Step 5: Solve for x
    x = 259,668,078.87/21,281.14
  6. Step 6: Final answer
    x = 12,201.79

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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.