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Finding the Fourth Proportional to 20,109.10, 30,163.65 and 13,110.70

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Solution

The fourth proportional to 20,109.10, 30,163.65 and 13,110.70 is: 19,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.10 : 30,163.65 = 13,110.70 : x
  2. Step 2: Convert to fraction form
    20,109.10/30,163.65 = 13,110.70/x
  3. Step 3: Cross multiply
    20,109.10x = 30,163.65 × 13,110.70
  4. Step 4: Simplify right side
    20,109.10x = 395,466,566.06
  5. Step 5: Solve for x
    x = 395,466,566.06/20,109.10
  6. Step 6: Final answer
    x = 19,666.05

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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.