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Finding the Fourth Proportional to 19,922.09, 29,843.07 and 9,233.48

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Solution

The fourth proportional to 19,922.09, 29,843.07 and 9,233.48 is: 13,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.09 : 29,843.07 = 9,233.48 : x
  2. Step 2: Convert to fraction form
    19,922.09/29,843.07 = 9,233.48/x
  3. Step 3: Cross multiply
    19,922.09x = 29,843.07 × 9,233.48
  4. Step 4: Simplify right side
    19,922.09x = 275,555,389.98
  5. Step 5: Solve for x
    x = 275,555,389.98/19,922.09
  6. Step 6: Final answer
    x = 13,831.65

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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.