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Finding the Fourth Proportional to 26,930.70, 40,399.38 and 9,164.34

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Solution

The fourth proportional to 26,930.70, 40,399.38 and 9,164.34 is: 13,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,930.70 : 40,399.38 = 9,164.34 : x
  2. Step 2: Convert to fraction form
    26,930.70/40,399.38 = 9,164.34/x
  3. Step 3: Cross multiply
    26,930.70x = 40,399.38 × 9,164.34
  4. Step 4: Simplify right side
    26,930.70x = 370,233,654.11
  5. Step 5: Solve for x
    x = 370,233,654.11/26,930.70
  6. Step 6: Final answer
    x = 13,747.64

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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.