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Finding the Fourth Proportional to 27,758.40, 38,306.28 and 15,183

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Solution

The fourth proportional to 27,758.40, 38,306.28 and 15,183 is: 20,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.40 : 38,306.28 = 15,183 : x
  2. Step 2: Convert to fraction form
    27,758.40/38,306.28 = 15,183/x
  3. Step 3: Cross multiply
    27,758.40x = 38,306.28 × 15,183
  4. Step 4: Simplify right side
    27,758.40x = 581,604,249.24
  5. Step 5: Solve for x
    x = 581,604,249.24/27,758.40
  6. Step 6: Final answer
    x = 20,952.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.