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Finding the Fourth Proportional to 13,901.14, 20,845.23 and 8,059.42

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Solution

The fourth proportional to 13,901.14, 20,845.23 and 8,059.42 is: 12,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.14 : 20,845.23 = 8,059.42 : x
  2. Step 2: Convert to fraction form
    13,901.14/20,845.23 = 8,059.42/x
  3. Step 3: Cross multiply
    13,901.14x = 20,845.23 × 8,059.42
  4. Step 4: Simplify right side
    13,901.14x = 168,000,463.57
  5. Step 5: Solve for x
    x = 168,000,463.57/13,901.14
  6. Step 6: Final answer
    x = 12,085.37

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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.