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Finding the Fourth Proportional to 13,380.53, 20,051.55 and 7,524.77

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Solution

The fourth proportional to 13,380.53, 20,051.55 and 7,524.77 is: 11,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.53 : 20,051.55 = 7,524.77 : x
  2. Step 2: Convert to fraction form
    13,380.53/20,051.55 = 7,524.77/x
  3. Step 3: Cross multiply
    13,380.53x = 20,051.55 × 7,524.77
  4. Step 4: Simplify right side
    13,380.53x = 150,883,201.64
  5. Step 5: Solve for x
    x = 150,883,201.64/13,380.53
  6. Step 6: Final answer
    x = 11,276.33

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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.