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Finding the Fourth Proportional to 23,387.82, 35,083.56 and 7,805.46

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Solution

The fourth proportional to 23,387.82, 35,083.56 and 7,805.46 is: 11,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,387.82 : 35,083.56 = 7,805.46 : x
  2. Step 2: Convert to fraction form
    23,387.82/35,083.56 = 7,805.46/x
  3. Step 3: Cross multiply
    23,387.82x = 35,083.56 × 7,805.46
  4. Step 4: Simplify right side
    23,387.82x = 273,843,324.24
  5. Step 5: Solve for x
    x = 273,843,324.24/23,387.82
  6. Step 6: Final answer
    x = 11,708.80

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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.