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Finding the Fourth Proportional to 13,773.83, 20,614.86 and 10,468.44

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Solution

The fourth proportional to 13,773.83, 20,614.86 and 10,468.44 is: 15,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.83 : 20,614.86 = 10,468.44 : x
  2. Step 2: Convert to fraction form
    13,773.83/20,614.86 = 10,468.44/x
  3. Step 3: Cross multiply
    13,773.83x = 20,614.86 × 10,468.44
  4. Step 4: Simplify right side
    13,773.83x = 215,805,425.02
  5. Step 5: Solve for x
    x = 215,805,425.02/13,773.83
  6. Step 6: Final answer
    x = 15,667.79

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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.