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Finding the Fourth Proportional to 13,899.69, 20,797.24 and 9,747.81

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Solution

The fourth proportional to 13,899.69, 20,797.24 and 9,747.81 is: 14,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,899.69 : 20,797.24 = 9,747.81 : x
  2. Step 2: Convert to fraction form
    13,899.69/20,797.24 = 9,747.81/x
  3. Step 3: Cross multiply
    13,899.69x = 20,797.24 × 9,747.81
  4. Step 4: Simplify right side
    13,899.69x = 202,727,544.04
  5. Step 5: Solve for x
    x = 202,727,544.04/13,899.69
  6. Step 6: Final answer
    x = 14,585.04

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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.