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Finding the Fourth Proportional to 18,499.14, 27,741.51 and 6,016.14

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Solution

The fourth proportional to 18,499.14, 27,741.51 and 6,016.14 is: 9,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,499.14 : 27,741.51 = 6,016.14 : x
  2. Step 2: Convert to fraction form
    18,499.14/27,741.51 = 6,016.14/x
  3. Step 3: Cross multiply
    18,499.14x = 27,741.51 × 6,016.14
  4. Step 4: Simplify right side
    18,499.14x = 166,896,807.97
  5. Step 5: Solve for x
    x = 166,896,807.97/18,499.14
  6. Step 6: Final answer
    x = 9,021.87

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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.