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Finding the Fourth Proportional to 16,550, 22,839 and 10,961

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Solution

The fourth proportional to 16,550, 22,839 and 10,961 is: 15,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550 : 22,839 = 10,961 : x
  2. Step 2: Convert to fraction form
    16,550/22,839 = 10,961/x
  3. Step 3: Cross multiply
    16,550x = 22,839 × 10,961
  4. Step 4: Simplify right side
    16,550x = 250,338,279
  5. Step 5: Solve for x
    x = 250,338,279/16,550
  6. Step 6: Final answer
    x = 15,126.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.