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Finding the Fourth Proportional to 13,571.64, 20,357.72 and 4,211.96

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Solution

The fourth proportional to 13,571.64, 20,357.72 and 4,211.96 is: 6,318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.64 : 20,357.72 = 4,211.96 : x
  2. Step 2: Convert to fraction form
    13,571.64/20,357.72 = 4,211.96/x
  3. Step 3: Cross multiply
    13,571.64x = 20,357.72 × 4,211.96
  4. Step 4: Simplify right side
    13,571.64x = 85,745,932.17
  5. Step 5: Solve for x
    x = 85,745,932.17/13,571.64
  6. Step 6: Final answer
    x = 6,318.02

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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.