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Finding the Fourth Proportional to 10,226.49, 15,323.22 and 8,586.24

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Solution

The fourth proportional to 10,226.49, 15,323.22 and 8,586.24 is: 12,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.49 : 15,323.22 = 8,586.24 : x
  2. Step 2: Convert to fraction form
    10,226.49/15,323.22 = 8,586.24/x
  3. Step 3: Cross multiply
    10,226.49x = 15,323.22 × 8,586.24
  4. Step 4: Simplify right side
    10,226.49x = 131,568,787.03
  5. Step 5: Solve for x
    x = 131,568,787.03/10,226.49
  6. Step 6: Final answer
    x = 12,865.49

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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.