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Finding the Fourth Proportional to 13,798.80, 20,683.83 and 6,397.17

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Solution

The fourth proportional to 13,798.80, 20,683.83 and 6,397.17 is: 9,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.80 : 20,683.83 = 6,397.17 : x
  2. Step 2: Convert to fraction form
    13,798.80/20,683.83 = 6,397.17/x
  3. Step 3: Cross multiply
    13,798.80x = 20,683.83 × 6,397.17
  4. Step 4: Simplify right side
    13,798.80x = 132,317,976.76
  5. Step 5: Solve for x
    x = 132,317,976.76/13,798.80
  6. Step 6: Final answer
    x = 9,589.09

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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.