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Finding the Fourth Proportional to 20,168.69, 30,253.31 and 7,689.38

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Solution

The fourth proportional to 20,168.69, 30,253.31 and 7,689.38 is: 11,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.69 : 30,253.31 = 7,689.38 : x
  2. Step 2: Convert to fraction form
    20,168.69/30,253.31 = 7,689.38/x
  3. Step 3: Cross multiply
    20,168.69x = 30,253.31 × 7,689.38
  4. Step 4: Simplify right side
    20,168.69x = 232,629,196.85
  5. Step 5: Solve for x
    x = 232,629,196.85/20,168.69
  6. Step 6: Final answer
    x = 11,534.17

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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.