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Finding the Fourth Proportional to 26,571.12, 39,829.34 and 11,787

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Solution

The fourth proportional to 26,571.12, 39,829.34 and 11,787 is: 17,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,571.12 : 39,829.34 = 11,787 : x
  2. Step 2: Convert to fraction form
    26,571.12/39,829.34 = 11,787/x
  3. Step 3: Cross multiply
    26,571.12x = 39,829.34 × 11,787
  4. Step 4: Simplify right side
    26,571.12x = 469,468,460.05
  5. Step 5: Solve for x
    x = 469,468,460.05/26,571.12
  6. Step 6: Final answer
    x = 17,668.37

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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.