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Finding the Fourth Proportional to 27,197.44, 40,788.73 and 7,471.30

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Solution

The fourth proportional to 27,197.44, 40,788.73 and 7,471.30 is: 11,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.44 : 40,788.73 = 7,471.30 : x
  2. Step 2: Convert to fraction form
    27,197.44/40,788.73 = 7,471.30/x
  3. Step 3: Cross multiply
    27,197.44x = 40,788.73 × 7,471.30
  4. Step 4: Simplify right side
    27,197.44x = 304,744,838.45
  5. Step 5: Solve for x
    x = 304,744,838.45/27,197.44
  6. Step 6: Final answer
    x = 11,204.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.