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Finding the Fourth Proportional to 27,197.32, 40,788.54 and 7,471.20

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Solution

The fourth proportional to 27,197.32, 40,788.54 and 7,471.20 is: 11,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.32 : 40,788.54 = 7,471.20 : x
  2. Step 2: Convert to fraction form
    27,197.32/40,788.54 = 7,471.20/x
  3. Step 3: Cross multiply
    27,197.32x = 40,788.54 × 7,471.20
  4. Step 4: Simplify right side
    27,197.32x = 304,739,340.05
  5. Step 5: Solve for x
    x = 304,739,340.05/27,197.32
  6. Step 6: Final answer
    x = 11,204.76

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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.