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Finding the Fourth Proportional to 13,447.28, 20,172.84 and 4,214

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Solution

The fourth proportional to 13,447.28, 20,172.84 and 4,214 is: 6,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.28 : 20,172.84 = 4,214 : x
  2. Step 2: Convert to fraction form
    13,447.28/20,172.84 = 4,214/x
  3. Step 3: Cross multiply
    13,447.28x = 20,172.84 × 4,214
  4. Step 4: Simplify right side
    13,447.28x = 85,008,347.76
  5. Step 5: Solve for x
    x = 85,008,347.76/13,447.28
  6. Step 6: Final answer
    x = 6,321.60

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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.