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Finding the Fourth Proportional to 13,914.28, 20,856.84 and 6,512.50

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Solution

The fourth proportional to 13,914.28, 20,856.84 and 6,512.50 is: 9,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.28 : 20,856.84 = 6,512.50 : x
  2. Step 2: Convert to fraction form
    13,914.28/20,856.84 = 6,512.50/x
  3. Step 3: Cross multiply
    13,914.28x = 20,856.84 × 6,512.50
  4. Step 4: Simplify right side
    13,914.28x = 135,830,170.50
  5. Step 5: Solve for x
    x = 135,830,170.50/13,914.28
  6. Step 6: Final answer
    x = 9,761.93

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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.