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Finding the Fourth Proportional to 22,463.50, 33,696.87 and 8,612.50

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Solution

The fourth proportional to 22,463.50, 33,696.87 and 8,612.50 is: 12,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.50 : 33,696.87 = 8,612.50 : x
  2. Step 2: Convert to fraction form
    22,463.50/33,696.87 = 8,612.50/x
  3. Step 3: Cross multiply
    22,463.50x = 33,696.87 × 8,612.50
  4. Step 4: Simplify right side
    22,463.50x = 290,214,292.88
  5. Step 5: Solve for x
    x = 290,214,292.88/22,463.50
  6. Step 6: Final answer
    x = 12,919.37

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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.