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Finding the Fourth Proportional to 11,827.26, 17,740.89 and 8,524.89

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Solution

The fourth proportional to 11,827.26, 17,740.89 and 8,524.89 is: 12,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.26 : 17,740.89 = 8,524.89 : x
  2. Step 2: Convert to fraction form
    11,827.26/17,740.89 = 8,524.89/x
  3. Step 3: Cross multiply
    11,827.26x = 17,740.89 × 8,524.89
  4. Step 4: Simplify right side
    11,827.26x = 151,239,135.75
  5. Step 5: Solve for x
    x = 151,239,135.75/11,827.26
  6. Step 6: Final answer
    x = 12,787.34

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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.