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Finding the Fourth Proportional to 18,016.64, 27,007.68 and 5,696

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Solution

The fourth proportional to 18,016.64, 27,007.68 and 5,696 is: 8,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,016.64 : 27,007.68 = 5,696 : x
  2. Step 2: Convert to fraction form
    18,016.64/27,007.68 = 5,696/x
  3. Step 3: Cross multiply
    18,016.64x = 27,007.68 × 5,696
  4. Step 4: Simplify right side
    18,016.64x = 153,835,745.28
  5. Step 5: Solve for x
    x = 153,835,745.28/18,016.64
  6. Step 6: Final answer
    x = 8,538.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.