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Finding the Fourth Proportional to 20,179.82, 30,269.87 and 7,032.17

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Solution

The fourth proportional to 20,179.82, 30,269.87 and 7,032.17 is: 10,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.82 : 30,269.87 = 7,032.17 : x
  2. Step 2: Convert to fraction form
    20,179.82/30,269.87 = 7,032.17/x
  3. Step 3: Cross multiply
    20,179.82x = 30,269.87 × 7,032.17
  4. Step 4: Simplify right side
    20,179.82x = 212,862,737.95
  5. Step 5: Solve for x
    x = 212,862,737.95/20,179.82
  6. Step 6: Final answer
    x = 10,548.30

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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.