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Finding the Fourth Proportional to 13,874.52, 19,146.85 and 7,906.17

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Solution

The fourth proportional to 13,874.52, 19,146.85 and 7,906.17 is: 10,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.52 : 19,146.85 = 7,906.17 : x
  2. Step 2: Convert to fraction form
    13,874.52/19,146.85 = 7,906.17/x
  3. Step 3: Cross multiply
    13,874.52x = 19,146.85 × 7,906.17
  4. Step 4: Simplify right side
    13,874.52x = 151,378,251.06
  5. Step 5: Solve for x
    x = 151,378,251.06/13,874.52
  6. Step 6: Final answer
    x = 10,910.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.