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Finding the Fourth Proportional to 22,644.50, 33,968.64 and 7,062.14

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Solution

The fourth proportional to 22,644.50, 33,968.64 and 7,062.14 is: 10,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.50 : 33,968.64 = 7,062.14 : x
  2. Step 2: Convert to fraction form
    22,644.50/33,968.64 = 7,062.14/x
  3. Step 3: Cross multiply
    22,644.50x = 33,968.64 × 7,062.14
  4. Step 4: Simplify right side
    22,644.50x = 239,891,291.29
  5. Step 5: Solve for x
    x = 239,891,291.29/22,644.50
  6. Step 6: Final answer
    x = 10,593.80

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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.