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Finding the Fourth Proportional to 22,832.82, 34,244.91 and 7,250.58

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Solution

The fourth proportional to 22,832.82, 34,244.91 and 7,250.58 is: 10,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.82 : 34,244.91 = 7,250.58 : x
  2. Step 2: Convert to fraction form
    22,832.82/34,244.91 = 7,250.58/x
  3. Step 3: Cross multiply
    22,832.82x = 34,244.91 × 7,250.58
  4. Step 4: Simplify right side
    22,832.82x = 248,295,459.55
  5. Step 5: Solve for x
    x = 248,295,459.55/22,832.82
  6. Step 6: Final answer
    x = 10,874.50

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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.