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Finding the Fourth Proportional to 27,578.62, 41,360.23 and 9,807.02

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Solution

The fourth proportional to 27,578.62, 41,360.23 and 9,807.02 is: 14,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.62 : 41,360.23 = 9,807.02 : x
  2. Step 2: Convert to fraction form
    27,578.62/41,360.23 = 9,807.02/x
  3. Step 3: Cross multiply
    27,578.62x = 41,360.23 × 9,807.02
  4. Step 4: Simplify right side
    27,578.62x = 405,620,396.01
  5. Step 5: Solve for x
    x = 405,620,396.01/27,578.62
  6. Step 6: Final answer
    x = 14,707.78

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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.