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Finding the Fourth Proportional to 20,105.46, 30,146.04 and 9,578.70

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Solution

The fourth proportional to 20,105.46, 30,146.04 and 9,578.70 is: 14,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.46 : 30,146.04 = 9,578.70 : x
  2. Step 2: Convert to fraction form
    20,105.46/30,146.04 = 9,578.70/x
  3. Step 3: Cross multiply
    20,105.46x = 30,146.04 × 9,578.70
  4. Step 4: Simplify right side
    20,105.46x = 288,759,873.35
  5. Step 5: Solve for x
    x = 288,759,873.35/20,105.46
  6. Step 6: Final answer
    x = 14,362.26

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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.