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Finding the Fourth Proportional to 13,444.14, 20,166.20 and 5,236.14

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Solution

The fourth proportional to 13,444.14, 20,166.20 and 5,236.14 is: 7,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.14 : 20,166.20 = 5,236.14 : x
  2. Step 2: Convert to fraction form
    13,444.14/20,166.20 = 5,236.14/x
  3. Step 3: Cross multiply
    13,444.14x = 20,166.20 × 5,236.14
  4. Step 4: Simplify right side
    13,444.14x = 105,593,046.47
  5. Step 5: Solve for x
    x = 105,593,046.47/13,444.14
  6. Step 6: Final answer
    x = 7,854.21

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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.