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Finding the Fourth Proportional to 13,782.72, 20,657.67 and 9,600.08

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Solution

The fourth proportional to 13,782.72, 20,657.67 and 9,600.08 is: 14,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.72 : 20,657.67 = 9,600.08 : x
  2. Step 2: Convert to fraction form
    13,782.72/20,657.67 = 9,600.08/x
  3. Step 3: Cross multiply
    13,782.72x = 20,657.67 × 9,600.08
  4. Step 4: Simplify right side
    13,782.72x = 198,315,181.33
  5. Step 5: Solve for x
    x = 198,315,181.33/13,782.72
  6. Step 6: Final answer
    x = 14,388.68

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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.