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Finding the Fourth Proportional to 22,734, 34,078.32 and 9,593.64

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Solution

The fourth proportional to 22,734, 34,078.32 and 9,593.64 is: 14,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734 : 34,078.32 = 9,593.64 : x
  2. Step 2: Convert to fraction form
    22,734/34,078.32 = 9,593.64/x
  3. Step 3: Cross multiply
    22,734x = 34,078.32 × 9,593.64
  4. Step 4: Simplify right side
    22,734x = 326,935,133.88
  5. Step 5: Solve for x
    x = 326,935,133.88/22,734
  6. Step 6: Final answer
    x = 14,380.89

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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.