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Finding the Fourth Proportional to 20,264.09, 30,399.17 and 7,114.14

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Solution

The fourth proportional to 20,264.09, 30,399.17 and 7,114.14 is: 10,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.09 : 30,399.17 = 7,114.14 : x
  2. Step 2: Convert to fraction form
    20,264.09/30,399.17 = 7,114.14/x
  3. Step 3: Cross multiply
    20,264.09x = 30,399.17 × 7,114.14
  4. Step 4: Simplify right side
    20,264.09x = 216,263,915.69
  5. Step 5: Solve for x
    x = 216,263,915.69/20,264.09
  6. Step 6: Final answer
    x = 10,672.28

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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.