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Finding the Fourth Proportional to 22,665, 33,994.78 and 6,026.31

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Solution

The fourth proportional to 22,665, 33,994.78 and 6,026.31 is: 9,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665 : 33,994.78 = 6,026.31 : x
  2. Step 2: Convert to fraction form
    22,665/33,994.78 = 6,026.31/x
  3. Step 3: Cross multiply
    22,665x = 33,994.78 × 6,026.31
  4. Step 4: Simplify right side
    22,665x = 204,862,882.56
  5. Step 5: Solve for x
    x = 204,862,882.56/22,665
  6. Step 6: Final answer
    x = 9,038.73

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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.