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Finding the Fourth Proportional to 27,646.28, 41,469.42 and 9,178.28

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Solution

The fourth proportional to 27,646.28, 41,469.42 and 9,178.28 is: 13,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.28 : 41,469.42 = 9,178.28 : x
  2. Step 2: Convert to fraction form
    27,646.28/41,469.42 = 9,178.28/x
  3. Step 3: Cross multiply
    27,646.28x = 41,469.42 × 9,178.28
  4. Step 4: Simplify right side
    27,646.28x = 380,618,074.82
  5. Step 5: Solve for x
    x = 380,618,074.82/27,646.28
  6. Step 6: Final answer
    x = 13,767.42

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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.