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Finding the Fourth Proportional to 20,145.17, 30,217.75 and 6,294.17

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Solution

The fourth proportional to 20,145.17, 30,217.75 and 6,294.17 is: 9,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.17 : 30,217.75 = 6,294.17 : x
  2. Step 2: Convert to fraction form
    20,145.17/30,217.75 = 6,294.17/x
  3. Step 3: Cross multiply
    20,145.17x = 30,217.75 × 6,294.17
  4. Step 4: Simplify right side
    20,145.17x = 190,195,545.35
  5. Step 5: Solve for x
    x = 190,195,545.35/20,145.17
  6. Step 6: Final answer
    x = 9,441.25

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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.