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Finding the Fourth Proportional to 23,883.39, 35,823.79 and 9,843.15

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Solution

The fourth proportional to 23,883.39, 35,823.79 and 9,843.15 is: 14,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.39 : 35,823.79 = 9,843.15 : x
  2. Step 2: Convert to fraction form
    23,883.39/35,823.79 = 9,843.15/x
  3. Step 3: Cross multiply
    23,883.39x = 35,823.79 × 9,843.15
  4. Step 4: Simplify right side
    23,883.39x = 352,618,938.54
  5. Step 5: Solve for x
    x = 352,618,938.54/23,883.39
  6. Step 6: Final answer
    x = 14,764.19

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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.