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Finding the Fourth Proportional to 22,654.34, 33,983.28 and 6,014

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Solution

The fourth proportional to 22,654.34, 33,983.28 and 6,014 is: 9,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.34 : 33,983.28 = 6,014 : x
  2. Step 2: Convert to fraction form
    22,654.34/33,983.28 = 6,014/x
  3. Step 3: Cross multiply
    22,654.34x = 33,983.28 × 6,014
  4. Step 4: Simplify right side
    22,654.34x = 204,375,445.92
  5. Step 5: Solve for x
    x = 204,375,445.92/22,654.34
  6. Step 6: Final answer
    x = 9,021.47

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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.