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Finding the Fourth Proportional to 13,171.16, 19,753.81 and 3,809.12

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Solution

The fourth proportional to 13,171.16, 19,753.81 and 3,809.12 is: 5,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.16 : 19,753.81 = 3,809.12 : x
  2. Step 2: Convert to fraction form
    13,171.16/19,753.81 = 3,809.12/x
  3. Step 3: Cross multiply
    13,171.16x = 19,753.81 × 3,809.12
  4. Step 4: Simplify right side
    13,171.16x = 75,244,632.75
  5. Step 5: Solve for x
    x = 75,244,632.75/13,171.16
  6. Step 6: Final answer
    x = 5,712.83

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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.