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Finding the Fourth Proportional to 22,288.50, 33,435.54 and 8,246.16

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Solution

The fourth proportional to 22,288.50, 33,435.54 and 8,246.16 is: 12,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.50 : 33,435.54 = 8,246.16 : x
  2. Step 2: Convert to fraction form
    22,288.50/33,435.54 = 8,246.16/x
  3. Step 3: Cross multiply
    22,288.50x = 33,435.54 × 8,246.16
  4. Step 4: Simplify right side
    22,288.50x = 275,714,812.53
  5. Step 5: Solve for x
    x = 275,714,812.53/22,288.50
  6. Step 6: Final answer
    x = 12,370.27

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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.