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Finding the Fourth Proportional to 22,621.50, 33,946.86 and 8,770.50

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Solution

The fourth proportional to 22,621.50, 33,946.86 and 8,770.50 is: 13,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,621.50 : 33,946.86 = 8,770.50 : x
  2. Step 2: Convert to fraction form
    22,621.50/33,946.86 = 8,770.50/x
  3. Step 3: Cross multiply
    22,621.50x = 33,946.86 × 8,770.50
  4. Step 4: Simplify right side
    22,621.50x = 297,730,935.63
  5. Step 5: Solve for x
    x = 297,730,935.63/22,621.50
  6. Step 6: Final answer
    x = 13,161.41

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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.