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Finding the Fourth Proportional to 13,891.14, 20,830.23 and 8,049.42

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Solution

The fourth proportional to 13,891.14, 20,830.23 and 8,049.42 is: 12,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.14 : 20,830.23 = 8,049.42 : x
  2. Step 2: Convert to fraction form
    13,891.14/20,830.23 = 8,049.42/x
  3. Step 3: Cross multiply
    13,891.14x = 20,830.23 × 8,049.42
  4. Step 4: Simplify right side
    13,891.14x = 167,671,269.97
  5. Step 5: Solve for x
    x = 167,671,269.97/13,891.14
  6. Step 6: Final answer
    x = 12,070.38

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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.