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Finding the Fourth Proportional to 20,163.60, 30,241.35 and 9,633.60

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Solution

The fourth proportional to 20,163.60, 30,241.35 and 9,633.60 is: 14,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.60 : 30,241.35 = 9,633.60 : x
  2. Step 2: Convert to fraction form
    20,163.60/30,241.35 = 9,633.60/x
  3. Step 3: Cross multiply
    20,163.60x = 30,241.35 × 9,633.60
  4. Step 4: Simplify right side
    20,163.60x = 291,333,069.36
  5. Step 5: Solve for x
    x = 291,333,069.36/20,163.60
  6. Step 6: Final answer
    x = 14,448.47

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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.