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Finding the Fourth Proportional to 13,804.80, 20,691.24 and 6,393.75

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Solution

The fourth proportional to 13,804.80, 20,691.24 and 6,393.75 is: 9,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.80 : 20,691.24 = 6,393.75 : x
  2. Step 2: Convert to fraction form
    13,804.80/20,691.24 = 6,393.75/x
  3. Step 3: Cross multiply
    13,804.80x = 20,691.24 × 6,393.75
  4. Step 4: Simplify right side
    13,804.80x = 132,294,615.75
  5. Step 5: Solve for x
    x = 132,294,615.75/13,804.80
  6. Step 6: Final answer
    x = 9,583.23

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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.