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Finding the Fourth Proportional to 27,200.64, 40,771.20 and 11,627.52

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Solution

The fourth proportional to 27,200.64, 40,771.20 and 11,627.52 is: 17,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.64 : 40,771.20 = 11,627.52 : x
  2. Step 2: Convert to fraction form
    27,200.64/40,771.20 = 11,627.52/x
  3. Step 3: Cross multiply
    27,200.64x = 40,771.20 × 11,627.52
  4. Step 4: Simplify right side
    27,200.64x = 474,067,943.42
  5. Step 5: Solve for x
    x = 474,067,943.42/27,200.64
  6. Step 6: Final answer
    x = 17,428.56

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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.