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Finding the Fourth Proportional to 13,794.32, 20,693.54 and 6,399.53

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Solution

The fourth proportional to 13,794.32, 20,693.54 and 6,399.53 is: 9,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.32 : 20,693.54 = 6,399.53 : x
  2. Step 2: Convert to fraction form
    13,794.32/20,693.54 = 6,399.53/x
  3. Step 3: Cross multiply
    13,794.32x = 20,693.54 × 6,399.53
  4. Step 4: Simplify right side
    13,794.32x = 132,428,884.17
  5. Step 5: Solve for x
    x = 132,428,884.17/13,794.32
  6. Step 6: Final answer
    x = 9,600.25

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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.