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Finding the Fourth Proportional to 13,956.21, 20,935.22 and 6,165

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Solution

The fourth proportional to 13,956.21, 20,935.22 and 6,165 is: 9,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.21 : 20,935.22 = 6,165 : x
  2. Step 2: Convert to fraction form
    13,956.21/20,935.22 = 6,165/x
  3. Step 3: Cross multiply
    13,956.21x = 20,935.22 × 6,165
  4. Step 4: Simplify right side
    13,956.21x = 129,065,600.48
  5. Step 5: Solve for x
    x = 129,065,600.48/13,956.21
  6. Step 6: Final answer
    x = 9,247.90

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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.