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Finding the Fourth Proportional to 20,196.70, 30,338.70 and 17,082.88

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Solution

The fourth proportional to 20,196.70, 30,338.70 and 17,082.88 is: 25,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.70 : 30,338.70 = 17,082.88 : x
  2. Step 2: Convert to fraction form
    20,196.70/30,338.70 = 17,082.88/x
  3. Step 3: Cross multiply
    20,196.70x = 30,338.70 × 17,082.88
  4. Step 4: Simplify right side
    20,196.70x = 518,272,371.46
  5. Step 5: Solve for x
    x = 518,272,371.46/20,196.70
  6. Step 6: Final answer
    x = 25,661.24

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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.