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Finding the Fourth Proportional to 26,078.14, 39,103.08 and 9,202.69

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Solution

The fourth proportional to 26,078.14, 39,103.08 and 9,202.69 is: 13,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,078.14 : 39,103.08 = 9,202.69 : x
  2. Step 2: Convert to fraction form
    26,078.14/39,103.08 = 9,202.69/x
  3. Step 3: Cross multiply
    26,078.14x = 39,103.08 × 9,202.69
  4. Step 4: Simplify right side
    26,078.14x = 359,853,523.29
  5. Step 5: Solve for x
    x = 359,853,523.29/26,078.14
  6. Step 6: Final answer
    x = 13,799.05

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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.