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Finding the Fourth Proportional to 21,719.76, 32,584.94 and 6,928.68

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Solution

The fourth proportional to 21,719.76, 32,584.94 and 6,928.68 is: 10,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,719.76 : 32,584.94 = 6,928.68 : x
  2. Step 2: Convert to fraction form
    21,719.76/32,584.94 = 6,928.68/x
  3. Step 3: Cross multiply
    21,719.76x = 32,584.94 × 6,928.68
  4. Step 4: Simplify right side
    21,719.76x = 225,770,622.08
  5. Step 5: Solve for x
    x = 225,770,622.08/21,719.76
  6. Step 6: Final answer
    x = 10,394.71

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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.