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Finding the Fourth Proportional to 22,422.53, 33,635.73 and 5,782.42

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Solution

The fourth proportional to 22,422.53, 33,635.73 and 5,782.42 is: 8,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.53 : 33,635.73 = 5,782.42 : x
  2. Step 2: Convert to fraction form
    22,422.53/33,635.73 = 5,782.42/x
  3. Step 3: Cross multiply
    22,422.53x = 33,635.73 × 5,782.42
  4. Step 4: Simplify right side
    22,422.53x = 194,495,917.87
  5. Step 5: Solve for x
    x = 194,495,917.87/22,422.53
  6. Step 6: Final answer
    x = 8,674.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.