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Finding the Fourth Proportional to 18,605.14, 27,896.91 and 7,502.74

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Solution

The fourth proportional to 18,605.14, 27,896.91 and 7,502.74 is: 11,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,605.14 : 27,896.91 = 7,502.74 : x
  2. Step 2: Convert to fraction form
    18,605.14/27,896.91 = 7,502.74/x
  3. Step 3: Cross multiply
    18,605.14x = 27,896.91 × 7,502.74
  4. Step 4: Simplify right side
    18,605.14x = 209,303,262.53
  5. Step 5: Solve for x
    x = 209,303,262.53/18,605.14
  6. Step 6: Final answer
    x = 11,249.75

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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.