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Finding the Fourth Proportional to 21,202.09, 29,259.41 and 11,642.92

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Solution

The fourth proportional to 21,202.09, 29,259.41 and 11,642.92 is: 16,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.09 : 29,259.41 = 11,642.92 : x
  2. Step 2: Convert to fraction form
    21,202.09/29,259.41 = 11,642.92/x
  3. Step 3: Cross multiply
    21,202.09x = 29,259.41 × 11,642.92
  4. Step 4: Simplify right side
    21,202.09x = 340,664,765.37
  5. Step 5: Solve for x
    x = 340,664,765.37/21,202.09
  6. Step 6: Final answer
    x = 16,067.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.