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Finding the Fourth Proportional to 20,424.71, 30,615.27 and 11,640.71

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Solution

The fourth proportional to 20,424.71, 30,615.27 and 11,640.71 is: 17,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424.71 : 30,615.27 = 11,640.71 : x
  2. Step 2: Convert to fraction form
    20,424.71/30,615.27 = 11,640.71/x
  3. Step 3: Cross multiply
    20,424.71x = 30,615.27 × 11,640.71
  4. Step 4: Simplify right side
    20,424.71x = 356,383,326.57
  5. Step 5: Solve for x
    x = 356,383,326.57/20,424.71
  6. Step 6: Final answer
    x = 17,448.64

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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.