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Finding the Fourth Proportional to 27,796.69, 41,711.37 and 14,470.57

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Solution

The fourth proportional to 27,796.69, 41,711.37 and 14,470.57 is: 21,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.69 : 41,711.37 = 14,470.57 : x
  2. Step 2: Convert to fraction form
    27,796.69/41,711.37 = 14,470.57/x
  3. Step 3: Cross multiply
    27,796.69x = 41,711.37 × 14,470.57
  4. Step 4: Simplify right side
    27,796.69x = 603,587,299.38
  5. Step 5: Solve for x
    x = 603,587,299.38/27,796.69
  6. Step 6: Final answer
    x = 21,714.36

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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.