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Finding the Fourth Proportional to 27,721, 41,581.50 and 11,088.52

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Solution

The fourth proportional to 27,721, 41,581.50 and 11,088.52 is: 16,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,721 : 41,581.50 = 11,088.52 : x
  2. Step 2: Convert to fraction form
    27,721/41,581.50 = 11,088.52/x
  3. Step 3: Cross multiply
    27,721x = 41,581.50 × 11,088.52
  4. Step 4: Simplify right side
    27,721x = 461,077,294.38
  5. Step 5: Solve for x
    x = 461,077,294.38/27,721
  6. Step 6: Final answer
    x = 16,632.78

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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.