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Finding the Fourth Proportional to 20,241.84, 30,371.40 and 11,463.60

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Solution

The fourth proportional to 20,241.84, 30,371.40 and 11,463.60 is: 17,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241.84 : 30,371.40 = 11,463.60 : x
  2. Step 2: Convert to fraction form
    20,241.84/30,371.40 = 11,463.60/x
  3. Step 3: Cross multiply
    20,241.84x = 30,371.40 × 11,463.60
  4. Step 4: Simplify right side
    20,241.84x = 348,165,581.04
  5. Step 5: Solve for x
    x = 348,165,581.04/20,241.84
  6. Step 6: Final answer
    x = 17,200.29

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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.