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Finding the Fourth Proportional to 22,101.50, 33,166.07 and 8,953.94

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Solution

The fourth proportional to 22,101.50, 33,166.07 and 8,953.94 is: 13,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101.50 : 33,166.07 = 8,953.94 : x
  2. Step 2: Convert to fraction form
    22,101.50/33,166.07 = 8,953.94/x
  3. Step 3: Cross multiply
    22,101.50x = 33,166.07 × 8,953.94
  4. Step 4: Simplify right side
    22,101.50x = 296,967,000.82
  5. Step 5: Solve for x
    x = 296,967,000.82/22,101.50
  6. Step 6: Final answer
    x = 13,436.51

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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.