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Finding the Fourth Proportional to 22,591.96, 33,892.47 and 7,801.42

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Solution

The fourth proportional to 22,591.96, 33,892.47 and 7,801.42 is: 11,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.96 : 33,892.47 = 7,801.42 : x
  2. Step 2: Convert to fraction form
    22,591.96/33,892.47 = 7,801.42/x
  3. Step 3: Cross multiply
    22,591.96x = 33,892.47 × 7,801.42
  4. Step 4: Simplify right side
    22,591.96x = 264,409,393.31
  5. Step 5: Solve for x
    x = 264,409,393.31/22,591.96
  6. Step 6: Final answer
    x = 11,703.69

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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.