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Finding the Fourth Proportional to 13,718.16, 20,578.32 and 3,857.49

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Solution

The fourth proportional to 13,718.16, 20,578.32 and 3,857.49 is: 5,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.16 : 20,578.32 = 3,857.49 : x
  2. Step 2: Convert to fraction form
    13,718.16/20,578.32 = 3,857.49/x
  3. Step 3: Cross multiply
    13,718.16x = 20,578.32 × 3,857.49
  4. Step 4: Simplify right side
    13,718.16x = 79,380,663.62
  5. Step 5: Solve for x
    x = 79,380,663.62/13,718.16
  6. Step 6: Final answer
    x = 5,786.54

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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.