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Finding the Fourth Proportional to 13,494.27, 20,232.19 and 6,094.70

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Solution

The fourth proportional to 13,494.27, 20,232.19 and 6,094.70 is: 9,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.27 : 20,232.19 = 6,094.70 : x
  2. Step 2: Convert to fraction form
    13,494.27/20,232.19 = 6,094.70/x
  3. Step 3: Cross multiply
    13,494.27x = 20,232.19 × 6,094.70
  4. Step 4: Simplify right side
    13,494.27x = 123,309,128.39
  5. Step 5: Solve for x
    x = 123,309,128.39/13,494.27
  6. Step 6: Final answer
    x = 9,137.89

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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.