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Finding the Fourth Proportional to 27,813.38, 38,383.07 and 15,238.13

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Solution

The fourth proportional to 27,813.38, 38,383.07 and 15,238.13 is: 21,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.38 : 38,383.07 = 15,238.13 : x
  2. Step 2: Convert to fraction form
    27,813.38/38,383.07 = 15,238.13/x
  3. Step 3: Cross multiply
    27,813.38x = 38,383.07 × 15,238.13
  4. Step 4: Simplify right side
    27,813.38x = 584,885,942.35
  5. Step 5: Solve for x
    x = 584,885,942.35/27,813.38
  6. Step 6: Final answer
    x = 21,028.95

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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.