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Finding the Fourth Proportional to 21,284.73, 31,928.93 and 5,489.62

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Solution

The fourth proportional to 21,284.73, 31,928.93 and 5,489.62 is: 8,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.73 : 31,928.93 = 5,489.62 : x
  2. Step 2: Convert to fraction form
    21,284.73/31,928.93 = 5,489.62/x
  3. Step 3: Cross multiply
    21,284.73x = 31,928.93 × 5,489.62
  4. Step 4: Simplify right side
    21,284.73x = 175,277,816.50
  5. Step 5: Solve for x
    x = 175,277,816.50/21,284.73
  6. Step 6: Final answer
    x = 8,234.91

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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.