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Finding the Fourth Proportional to 27,608.68, 41,412.54 and 6,832.12

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Solution

The fourth proportional to 27,608.68, 41,412.54 and 6,832.12 is: 10,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.68 : 41,412.54 = 6,832.12 : x
  2. Step 2: Convert to fraction form
    27,608.68/41,412.54 = 6,832.12/x
  3. Step 3: Cross multiply
    27,608.68x = 41,412.54 × 6,832.12
  4. Step 4: Simplify right side
    27,608.68x = 282,935,442.78
  5. Step 5: Solve for x
    x = 282,935,442.78/27,608.68
  6. Step 6: Final answer
    x = 10,248.06

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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.