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Finding the Fourth Proportional to 20,109.40, 30,164.10 and 19,256.20

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Solution

The fourth proportional to 20,109.40, 30,164.10 and 19,256.20 is: 28,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.40 : 30,164.10 = 19,256.20 : x
  2. Step 2: Convert to fraction form
    20,109.40/30,164.10 = 19,256.20/x
  3. Step 3: Cross multiply
    20,109.40x = 30,164.10 × 19,256.20
  4. Step 4: Simplify right side
    20,109.40x = 580,845,942.42
  5. Step 5: Solve for x
    x = 580,845,942.42/20,109.40
  6. Step 6: Final answer
    x = 28,884.30

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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.