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Finding the Fourth Proportional to 20,160.70, 30,241.05 and 11,412.70

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Solution

The fourth proportional to 20,160.70, 30,241.05 and 11,412.70 is: 17,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.70 : 30,241.05 = 11,412.70 : x
  2. Step 2: Convert to fraction form
    20,160.70/30,241.05 = 11,412.70/x
  3. Step 3: Cross multiply
    20,160.70x = 30,241.05 × 11,412.70
  4. Step 4: Simplify right side
    20,160.70x = 345,132,031.34
  5. Step 5: Solve for x
    x = 345,132,031.34/20,160.70
  6. Step 6: Final answer
    x = 17,119.05

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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.