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Finding the Fourth Proportional to 11,524.52, 17,274.47 and 8,227.62

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Solution

The fourth proportional to 11,524.52, 17,274.47 and 8,227.62 is: 12,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.52 : 17,274.47 = 8,227.62 : x
  2. Step 2: Convert to fraction form
    11,524.52/17,274.47 = 8,227.62/x
  3. Step 3: Cross multiply
    11,524.52x = 17,274.47 × 8,227.62
  4. Step 4: Simplify right side
    11,524.52x = 142,127,733.72
  5. Step 5: Solve for x
    x = 142,127,733.72/11,524.52
  6. Step 6: Final answer
    x = 12,332.64

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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.