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Finding the Fourth Proportional to 27,442.82, 37,884.16 and 18,383.78

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Solution

The fourth proportional to 27,442.82, 37,884.16 and 18,383.78 is: 25,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.82 : 37,884.16 = 18,383.78 : x
  2. Step 2: Convert to fraction form
    27,442.82/37,884.16 = 18,383.78/x
  3. Step 3: Cross multiply
    27,442.82x = 37,884.16 × 18,383.78
  4. Step 4: Simplify right side
    27,442.82x = 696,454,062.92
  5. Step 5: Solve for x
    x = 696,454,062.92/27,442.82
  6. Step 6: Final answer
    x = 25,378.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.