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Finding the Fourth Proportional to 19,708.70, 29,571.24 and 11,826.38

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Solution

The fourth proportional to 19,708.70, 29,571.24 and 11,826.38 is: 17,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.70 : 29,571.24 = 11,826.38 : x
  2. Step 2: Convert to fraction form
    19,708.70/29,571.24 = 11,826.38/x
  3. Step 3: Cross multiply
    19,708.70x = 29,571.24 × 11,826.38
  4. Step 4: Simplify right side
    19,708.70x = 349,720,839.59
  5. Step 5: Solve for x
    x = 349,720,839.59/19,708.70
  6. Step 6: Final answer
    x = 17,744.49

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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.