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Finding the Fourth Proportional to 20,165.67, 30,241.17 and 7,689.15

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Solution

The fourth proportional to 20,165.67, 30,241.17 and 7,689.15 is: 11,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.67 : 30,241.17 = 7,689.15 : x
  2. Step 2: Convert to fraction form
    20,165.67/30,241.17 = 7,689.15/x
  3. Step 3: Cross multiply
    20,165.67x = 30,241.17 × 7,689.15
  4. Step 4: Simplify right side
    20,165.67x = 232,528,892.31
  5. Step 5: Solve for x
    x = 232,528,892.31/20,165.67
  6. Step 6: Final answer
    x = 11,530.93

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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.