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Finding the Fourth Proportional to 13,835.88, 19,093.95 and 7,867.17

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Solution

The fourth proportional to 13,835.88, 19,093.95 and 7,867.17 is: 10,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.88 : 19,093.95 = 7,867.17 : x
  2. Step 2: Convert to fraction form
    13,835.88/19,093.95 = 7,867.17/x
  3. Step 3: Cross multiply
    13,835.88x = 19,093.95 × 7,867.17
  4. Step 4: Simplify right side
    13,835.88x = 150,215,350.62
  5. Step 5: Solve for x
    x = 150,215,350.62/13,835.88
  6. Step 6: Final answer
    x = 10,856.94

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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.