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Finding the Fourth Proportional to 18,111.14, 27,174.50 and 9,797

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Solution

The fourth proportional to 18,111.14, 27,174.50 and 9,797 is: 14,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,111.14 : 27,174.50 = 9,797 : x
  2. Step 2: Convert to fraction form
    18,111.14/27,174.50 = 9,797/x
  3. Step 3: Cross multiply
    18,111.14x = 27,174.50 × 9,797
  4. Step 4: Simplify right side
    18,111.14x = 266,228,576.50
  5. Step 5: Solve for x
    x = 266,228,576.50/18,111.14
  6. Step 6: Final answer
    x = 14,699.71

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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.