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Finding the Fourth Proportional to 13,906.10, 20,859.16 and 3,376.14

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Solution

The fourth proportional to 13,906.10, 20,859.16 and 3,376.14 is: 5,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.10 : 20,859.16 = 3,376.14 : x
  2. Step 2: Convert to fraction form
    13,906.10/20,859.16 = 3,376.14/x
  3. Step 3: Cross multiply
    13,906.10x = 20,859.16 × 3,376.14
  4. Step 4: Simplify right side
    13,906.10x = 70,423,444.44
  5. Step 5: Solve for x
    x = 70,423,444.44/13,906.10
  6. Step 6: Final answer
    x = 5,064.21

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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.