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Finding the Fourth Proportional to 27,802.69, 41,704.42 and 9,082.58

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Solution

The fourth proportional to 27,802.69, 41,704.42 and 9,082.58 is: 13,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.69 : 41,704.42 = 9,082.58 : x
  2. Step 2: Convert to fraction form
    27,802.69/41,704.42 = 9,082.58/x
  3. Step 3: Cross multiply
    27,802.69x = 41,704.42 × 9,082.58
  4. Step 4: Simplify right side
    27,802.69x = 378,783,751.39
  5. Step 5: Solve for x
    x = 378,783,751.39/27,802.69
  6. Step 6: Final answer
    x = 13,623.99

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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.