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Finding the Fourth Proportional to 13,686.17, 20,529.25 and 3,297.92

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Solution

The fourth proportional to 13,686.17, 20,529.25 and 3,297.92 is: 4,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.17 : 20,529.25 = 3,297.92 : x
  2. Step 2: Convert to fraction form
    13,686.17/20,529.25 = 3,297.92/x
  3. Step 3: Cross multiply
    13,686.17x = 20,529.25 × 3,297.92
  4. Step 4: Simplify right side
    13,686.17x = 67,703,713.27
  5. Step 5: Solve for x
    x = 67,703,713.27/13,686.17
  6. Step 6: Final answer
    x = 4,946.87

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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.