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Finding the Fourth Proportional to 27,893.67, 41,808.87 and 13,836.12

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Solution

The fourth proportional to 27,893.67, 41,808.87 and 13,836.12 is: 20,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893.67 : 41,808.87 = 13,836.12 : x
  2. Step 2: Convert to fraction form
    27,893.67/41,808.87 = 13,836.12/x
  3. Step 3: Cross multiply
    27,893.67x = 41,808.87 × 13,836.12
  4. Step 4: Simplify right side
    27,893.67x = 578,472,542.38
  5. Step 5: Solve for x
    x = 578,472,542.38/27,893.67
  6. Step 6: Final answer
    x = 20,738.49

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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.