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Finding the Fourth Proportional to 13,754.81, 20,632.22 and 3,894.17

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Solution

The fourth proportional to 13,754.81, 20,632.22 and 3,894.17 is: 5,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.81 : 20,632.22 = 3,894.17 : x
  2. Step 2: Convert to fraction form
    13,754.81/20,632.22 = 3,894.17/x
  3. Step 3: Cross multiply
    13,754.81x = 20,632.22 × 3,894.17
  4. Step 4: Simplify right side
    13,754.81x = 80,345,404.27
  5. Step 5: Solve for x
    x = 80,345,404.27/13,754.81
  6. Step 6: Final answer
    x = 5,841.26

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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.