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Finding the Fourth Proportional to 19,901.09, 29,813.37 and 11,142.16

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Solution

The fourth proportional to 19,901.09, 29,813.37 and 11,142.16 is: 16,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.09 : 29,813.37 = 11,142.16 : x
  2. Step 2: Convert to fraction form
    19,901.09/29,813.37 = 11,142.16/x
  3. Step 3: Cross multiply
    19,901.09x = 29,813.37 × 11,142.16
  4. Step 4: Simplify right side
    19,901.09x = 332,185,222.36
  5. Step 5: Solve for x
    x = 332,185,222.36/19,901.09
  6. Step 6: Final answer
    x = 16,691.81

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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.