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Finding the Fourth Proportional to 20,110.50, 30,164.52 and 9,014.21

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Solution

The fourth proportional to 20,110.50, 30,164.52 and 9,014.21 is: 13,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110.50 : 30,164.52 = 9,014.21 : x
  2. Step 2: Convert to fraction form
    20,110.50/30,164.52 = 9,014.21/x
  3. Step 3: Cross multiply
    20,110.50x = 30,164.52 × 9,014.21
  4. Step 4: Simplify right side
    20,110.50x = 271,909,317.83
  5. Step 5: Solve for x
    x = 271,909,317.83/20,110.50
  6. Step 6: Final answer
    x = 13,520.76

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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.