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Finding the Fourth Proportional to 22,763, 34,144.10 and 8,719.22

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Solution

The fourth proportional to 22,763, 34,144.10 and 8,719.22 is: 13,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763 : 34,144.10 = 8,719.22 : x
  2. Step 2: Convert to fraction form
    22,763/34,144.10 = 8,719.22/x
  3. Step 3: Cross multiply
    22,763x = 34,144.10 × 8,719.22
  4. Step 4: Simplify right side
    22,763x = 297,709,919.60
  5. Step 5: Solve for x
    x = 297,709,919.60/22,763
  6. Step 6: Final answer
    x = 13,078.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.