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Finding the Fourth Proportional to 20,146.50, 30,219.75 and 7,834.50

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Solution

The fourth proportional to 20,146.50, 30,219.75 and 7,834.50 is: 11,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.50 : 30,219.75 = 7,834.50 : x
  2. Step 2: Convert to fraction form
    20,146.50/30,219.75 = 7,834.50/x
  3. Step 3: Cross multiply
    20,146.50x = 30,219.75 × 7,834.50
  4. Step 4: Simplify right side
    20,146.50x = 236,756,631.38
  5. Step 5: Solve for x
    x = 236,756,631.38/20,146.50
  6. Step 6: Final answer
    x = 11,751.75

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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.