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Finding the Fourth Proportional to 12,472.24, 18,708.36 and 7,274.47

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Solution

The fourth proportional to 12,472.24, 18,708.36 and 7,274.47 is: 10,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.24 : 18,708.36 = 7,274.47 : x
  2. Step 2: Convert to fraction form
    12,472.24/18,708.36 = 7,274.47/x
  3. Step 3: Cross multiply
    12,472.24x = 18,708.36 × 7,274.47
  4. Step 4: Simplify right side
    12,472.24x = 136,093,403.57
  5. Step 5: Solve for x
    x = 136,093,403.57/12,472.24
  6. Step 6: Final answer
    x = 10,911.71

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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.