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Finding the Fourth Proportional to 27,026.78, 40,542.32 and 9,500.54

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Solution

The fourth proportional to 27,026.78, 40,542.32 and 9,500.54 is: 14,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026.78 : 40,542.32 = 9,500.54 : x
  2. Step 2: Convert to fraction form
    27,026.78/40,542.32 = 9,500.54/x
  3. Step 3: Cross multiply
    27,026.78x = 40,542.32 × 9,500.54
  4. Step 4: Simplify right side
    27,026.78x = 385,173,932.85
  5. Step 5: Solve for x
    x = 385,173,932.85/27,026.78
  6. Step 6: Final answer
    x = 14,251.57

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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.