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Finding the Fourth Proportional to 27,802.32, 41,711.26 and 11,174.04

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Solution

The fourth proportional to 27,802.32, 41,711.26 and 11,174.04 is: 16,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.32 : 41,711.26 = 11,174.04 : x
  2. Step 2: Convert to fraction form
    27,802.32/41,711.26 = 11,174.04/x
  3. Step 3: Cross multiply
    27,802.32x = 41,711.26 × 11,174.04
  4. Step 4: Simplify right side
    27,802.32x = 466,083,287.69
  5. Step 5: Solve for x
    x = 466,083,287.69/27,802.32
  6. Step 6: Final answer
    x = 16,764.19

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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.