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Finding the Fourth Proportional to 13,704.40, 20,564.70 and 9,997.30

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Solution

The fourth proportional to 13,704.40, 20,564.70 and 9,997.30 is: 15,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.40 : 20,564.70 = 9,997.30 : x
  2. Step 2: Convert to fraction form
    13,704.40/20,564.70 = 9,997.30/x
  3. Step 3: Cross multiply
    13,704.40x = 20,564.70 × 9,997.30
  4. Step 4: Simplify right side
    13,704.40x = 205,591,475.31
  5. Step 5: Solve for x
    x = 205,591,475.31/13,704.40
  6. Step 6: Final answer
    x = 15,001.86

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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.