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Finding the Fourth Proportional to 13,163.02, 19,741.62 and 3,801

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Solution

The fourth proportional to 13,163.02, 19,741.62 and 3,801 is: 5,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.02 : 19,741.62 = 3,801 : x
  2. Step 2: Convert to fraction form
    13,163.02/19,741.62 = 3,801/x
  3. Step 3: Cross multiply
    13,163.02x = 19,741.62 × 3,801
  4. Step 4: Simplify right side
    13,163.02x = 75,037,897.62
  5. Step 5: Solve for x
    x = 75,037,897.62/13,163.02
  6. Step 6: Final answer
    x = 5,700.66

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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.