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Finding the Fourth Proportional to 22,352.08, 33,532.44 and 8,500

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Solution

The fourth proportional to 22,352.08, 33,532.44 and 8,500 is: 12,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.08 : 33,532.44 = 8,500 : x
  2. Step 2: Convert to fraction form
    22,352.08/33,532.44 = 8,500/x
  3. Step 3: Cross multiply
    22,352.08x = 33,532.44 × 8,500
  4. Step 4: Simplify right side
    22,352.08x = 285,025,740
  5. Step 5: Solve for x
    x = 285,025,740/22,352.08
  6. Step 6: Final answer
    x = 12,751.64

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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.