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Finding the Fourth Proportional to 13,906.17, 20,845.22 and 6,108.57

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Solution

The fourth proportional to 13,906.17, 20,845.22 and 6,108.57 is: 9,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.17 : 20,845.22 = 6,108.57 : x
  2. Step 2: Convert to fraction form
    13,906.17/20,845.22 = 6,108.57/x
  3. Step 3: Cross multiply
    13,906.17x = 20,845.22 × 6,108.57
  4. Step 4: Simplify right side
    13,906.17x = 127,334,454.99
  5. Step 5: Solve for x
    x = 127,334,454.99/13,906.17
  6. Step 6: Final answer
    x = 9,156.69

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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.