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Finding the Fourth Proportional to 13,856.88, 20,785.21 and 3,468.63

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Solution

The fourth proportional to 13,856.88, 20,785.21 and 3,468.63 is: 5,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.88 : 20,785.21 = 3,468.63 : x
  2. Step 2: Convert to fraction form
    13,856.88/20,785.21 = 3,468.63/x
  3. Step 3: Cross multiply
    13,856.88x = 20,785.21 × 3,468.63
  4. Step 4: Simplify right side
    13,856.88x = 72,096,202.96
  5. Step 5: Solve for x
    x = 72,096,202.96/13,856.88
  6. Step 6: Final answer
    x = 5,202.92

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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.