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Finding the Fourth Proportional to 22,827.78, 34,245.72 and 7,241.76

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Solution

The fourth proportional to 22,827.78, 34,245.72 and 7,241.76 is: 10,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.78 : 34,245.72 = 7,241.76 : x
  2. Step 2: Convert to fraction form
    22,827.78/34,245.72 = 7,241.76/x
  3. Step 3: Cross multiply
    22,827.78x = 34,245.72 × 7,241.76
  4. Step 4: Simplify right side
    22,827.78x = 247,999,285.27
  5. Step 5: Solve for x
    x = 247,999,285.27/22,827.78
  6. Step 6: Final answer
    x = 10,863.92

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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.