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Finding the Fourth Proportional to 22,932.86, 34,404.14 and 7,361.42

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Solution

The fourth proportional to 22,932.86, 34,404.14 and 7,361.42 is: 11,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.86 : 34,404.14 = 7,361.42 : x
  2. Step 2: Convert to fraction form
    22,932.86/34,404.14 = 7,361.42/x
  3. Step 3: Cross multiply
    22,932.86x = 34,404.14 × 7,361.42
  4. Step 4: Simplify right side
    22,932.86x = 253,263,170.66
  5. Step 5: Solve for x
    x = 253,263,170.66/22,932.86
  6. Step 6: Final answer
    x = 11,043.68

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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.