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Finding the Fourth Proportional to 21,204.40, 31,806.60 and 13,447.60

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Solution

The fourth proportional to 21,204.40, 31,806.60 and 13,447.60 is: 20,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.40 : 31,806.60 = 13,447.60 : x
  2. Step 2: Convert to fraction form
    21,204.40/31,806.60 = 13,447.60/x
  3. Step 3: Cross multiply
    21,204.40x = 31,806.60 × 13,447.60
  4. Step 4: Simplify right side
    21,204.40x = 427,722,434.16
  5. Step 5: Solve for x
    x = 427,722,434.16/21,204.40
  6. Step 6: Final answer
    x = 20,171.40

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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.