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Finding the Fourth Proportional to 21,202.19, 29,259.83 and 11,642.87

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Solution

The fourth proportional to 21,202.19, 29,259.83 and 11,642.87 is: 16,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.19 : 29,259.83 = 11,642.87 : x
  2. Step 2: Convert to fraction form
    21,202.19/29,259.83 = 11,642.87/x
  3. Step 3: Cross multiply
    21,202.19x = 29,259.83 × 11,642.87
  4. Step 4: Simplify right side
    21,202.19x = 340,668,499.17
  5. Step 5: Solve for x
    x = 340,668,499.17/21,202.19
  6. Step 6: Final answer
    x = 16,067.61

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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.