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Finding the Fourth Proportional to 20,094.68, 30,142.02 and 6,947.17

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Solution

The fourth proportional to 20,094.68, 30,142.02 and 6,947.17 is: 10,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.68 : 30,142.02 = 6,947.17 : x
  2. Step 2: Convert to fraction form
    20,094.68/30,142.02 = 6,947.17/x
  3. Step 3: Cross multiply
    20,094.68x = 30,142.02 × 6,947.17
  4. Step 4: Simplify right side
    20,094.68x = 209,401,687.78
  5. Step 5: Solve for x
    x = 209,401,687.78/20,094.68
  6. Step 6: Final answer
    x = 10,420.75

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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.