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Finding the Fourth Proportional to 23,843.13, 35,782.56 and 8,864.07

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Solution

The fourth proportional to 23,843.13, 35,782.56 and 8,864.07 is: 13,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.13 : 35,782.56 = 8,864.07 : x
  2. Step 2: Convert to fraction form
    23,843.13/35,782.56 = 8,864.07/x
  3. Step 3: Cross multiply
    23,843.13x = 35,782.56 × 8,864.07
  4. Step 4: Simplify right side
    23,843.13x = 317,179,116.62
  5. Step 5: Solve for x
    x = 317,179,116.62/23,843.13
  6. Step 6: Final answer
    x = 13,302.75

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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.