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Finding the Fourth Proportional to 27,724.50, 41,578.02 and 9,000.21

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Solution

The fourth proportional to 27,724.50, 41,578.02 and 9,000.21 is: 13,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.50 : 41,578.02 = 9,000.21 : x
  2. Step 2: Convert to fraction form
    27,724.50/41,578.02 = 9,000.21/x
  3. Step 3: Cross multiply
    27,724.50x = 41,578.02 × 9,000.21
  4. Step 4: Simplify right side
    27,724.50x = 374,210,911.38
  5. Step 5: Solve for x
    x = 374,210,911.38/27,724.50
  6. Step 6: Final answer
    x = 13,497.48

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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.