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Finding the Fourth Proportional to 13,349.54, 20,036.86 and 6,780.44

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Solution

The fourth proportional to 13,349.54, 20,036.86 and 6,780.44 is: 10,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.54 : 20,036.86 = 6,780.44 : x
  2. Step 2: Convert to fraction form
    13,349.54/20,036.86 = 6,780.44/x
  3. Step 3: Cross multiply
    13,349.54x = 20,036.86 × 6,780.44
  4. Step 4: Simplify right side
    13,349.54x = 135,858,727.02
  5. Step 5: Solve for x
    x = 135,858,727.02/13,349.54
  6. Step 6: Final answer
    x = 10,177.03

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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.