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Finding the Fourth Proportional to 23,805.84, 35,708.40 and 5,794.13

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Solution

The fourth proportional to 23,805.84, 35,708.40 and 5,794.13 is: 8,691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.84 : 35,708.40 = 5,794.13 : x
  2. Step 2: Convert to fraction form
    23,805.84/35,708.40 = 5,794.13/x
  3. Step 3: Cross multiply
    23,805.84x = 35,708.40 × 5,794.13
  4. Step 4: Simplify right side
    23,805.84x = 206,899,029.66
  5. Step 5: Solve for x
    x = 206,899,029.66/23,805.84
  6. Step 6: Final answer
    x = 8,691.10

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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.