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Finding the Fourth Proportional to 13,675.16, 20,512.74 and 3,286.91

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Solution

The fourth proportional to 13,675.16, 20,512.74 and 3,286.91 is: 4,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.16 : 20,512.74 = 3,286.91 : x
  2. Step 2: Convert to fraction form
    13,675.16/20,512.74 = 3,286.91/x
  3. Step 3: Cross multiply
    13,675.16x = 20,512.74 × 3,286.91
  4. Step 4: Simplify right side
    13,675.16x = 67,423,411.24
  5. Step 5: Solve for x
    x = 67,423,411.24/13,675.16
  6. Step 6: Final answer
    x = 4,930.36

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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.