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Finding the Fourth Proportional to 22,682.44, 34,026.64 and 7,892.48

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Solution

The fourth proportional to 22,682.44, 34,026.64 and 7,892.48 is: 11,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.44 : 34,026.64 = 7,892.48 : x
  2. Step 2: Convert to fraction form
    22,682.44/34,026.64 = 7,892.48/x
  3. Step 3: Cross multiply
    22,682.44x = 34,026.64 × 7,892.48
  4. Step 4: Simplify right side
    22,682.44x = 268,554,575.67
  5. Step 5: Solve for x
    x = 268,554,575.67/22,682.44
  6. Step 6: Final answer
    x = 11,839.76

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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.