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Finding the Fourth Proportional to 13,657.35, 20,473.23 and 7,408.20

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Solution

The fourth proportional to 13,657.35, 20,473.23 and 7,408.20 is: 11,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.35 : 20,473.23 = 7,408.20 : x
  2. Step 2: Convert to fraction form
    13,657.35/20,473.23 = 7,408.20/x
  3. Step 3: Cross multiply
    13,657.35x = 20,473.23 × 7,408.20
  4. Step 4: Simplify right side
    13,657.35x = 151,669,782.49
  5. Step 5: Solve for x
    x = 151,669,782.49/13,657.35
  6. Step 6: Final answer
    x = 11,105.36

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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.