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Finding the Fourth Proportional to 21,231.47, 31,847.49 and 8,084.57

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Solution

The fourth proportional to 21,231.47, 31,847.49 and 8,084.57 is: 12,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231.47 : 31,847.49 = 8,084.57 : x
  2. Step 2: Convert to fraction form
    21,231.47/31,847.49 = 8,084.57/x
  3. Step 3: Cross multiply
    21,231.47x = 31,847.49 × 8,084.57
  4. Step 4: Simplify right side
    21,231.47x = 257,473,102.99
  5. Step 5: Solve for x
    x = 257,473,102.99/21,231.47
  6. Step 6: Final answer
    x = 12,126.95

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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.