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Finding the Fourth Proportional to 19,843.09, 29,724.94 and 11,941.23

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Solution

The fourth proportional to 19,843.09, 29,724.94 and 11,941.23 is: 17,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.09 : 29,724.94 = 11,941.23 : x
  2. Step 2: Convert to fraction form
    19,843.09/29,724.94 = 11,941.23/x
  3. Step 3: Cross multiply
    19,843.09x = 29,724.94 × 11,941.23
  4. Step 4: Simplify right side
    19,843.09x = 354,952,345.28
  5. Step 5: Solve for x
    x = 354,952,345.28/19,843.09
  6. Step 6: Final answer
    x = 17,887.96

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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.