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Finding the Fourth Proportional to 13,934.66, 20,906.34 and 4,074.16

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Solution

The fourth proportional to 13,934.66, 20,906.34 and 4,074.16 is: 6,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.66 : 20,906.34 = 4,074.16 : x
  2. Step 2: Convert to fraction form
    13,934.66/20,906.34 = 4,074.16/x
  3. Step 3: Cross multiply
    13,934.66x = 20,906.34 × 4,074.16
  4. Step 4: Simplify right side
    13,934.66x = 85,175,774.17
  5. Step 5: Solve for x
    x = 85,175,774.17/13,934.66
  6. Step 6: Final answer
    x = 6,112.51

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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.