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Finding the Fourth Proportional to 27,213.38, 40,835.82 and 11,417

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Solution

The fourth proportional to 27,213.38, 40,835.82 and 11,417 is: 17,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213.38 : 40,835.82 = 11,417 : x
  2. Step 2: Convert to fraction form
    27,213.38/40,835.82 = 11,417/x
  3. Step 3: Cross multiply
    27,213.38x = 40,835.82 × 11,417
  4. Step 4: Simplify right side
    27,213.38x = 466,222,556.94
  5. Step 5: Solve for x
    x = 466,222,556.94/27,213.38
  6. Step 6: Final answer
    x = 17,132.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.