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Finding the Fourth Proportional to 27,832.69, 41,753.36 and 9,363.25

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Solution

The fourth proportional to 27,832.69, 41,753.36 and 9,363.25 is: 14,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.69 : 41,753.36 = 9,363.25 : x
  2. Step 2: Convert to fraction form
    27,832.69/41,753.36 = 9,363.25/x
  3. Step 3: Cross multiply
    27,832.69x = 41,753.36 × 9,363.25
  4. Step 4: Simplify right side
    27,832.69x = 390,947,148.02
  5. Step 5: Solve for x
    x = 390,947,148.02/27,832.69
  6. Step 6: Final answer
    x = 14,046.33

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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.