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Finding the Fourth Proportional to 22,771.94, 34,157.97 and 7,189.56

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Solution

The fourth proportional to 22,771.94, 34,157.97 and 7,189.56 is: 10,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.94 : 34,157.97 = 7,189.56 : x
  2. Step 2: Convert to fraction form
    22,771.94/34,157.97 = 7,189.56/x
  3. Step 3: Cross multiply
    22,771.94x = 34,157.97 × 7,189.56
  4. Step 4: Simplify right side
    22,771.94x = 245,580,774.79
  5. Step 5: Solve for x
    x = 245,580,774.79/22,771.94
  6. Step 6: Final answer
    x = 10,784.36

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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.