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Finding the Fourth Proportional to 18,496.69, 27,742.43 and 6,016.82

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Solution

The fourth proportional to 18,496.69, 27,742.43 and 6,016.82 is: 9,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.69 : 27,742.43 = 6,016.82 : x
  2. Step 2: Convert to fraction form
    18,496.69/27,742.43 = 6,016.82/x
  3. Step 3: Cross multiply
    18,496.69x = 27,742.43 × 6,016.82
  4. Step 4: Simplify right side
    18,496.69x = 166,921,084.00
  5. Step 5: Solve for x
    x = 166,921,084.00/18,496.69
  6. Step 6: Final answer
    x = 9,024.38

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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.