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Finding the Fourth Proportional to 15,186.89, 22,773.66 and 6,866.57

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Solution

The fourth proportional to 15,186.89, 22,773.66 and 6,866.57 is: 10,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,186.89 : 22,773.66 = 6,866.57 : x
  2. Step 2: Convert to fraction form
    15,186.89/22,773.66 = 6,866.57/x
  3. Step 3: Cross multiply
    15,186.89x = 22,773.66 × 6,866.57
  4. Step 4: Simplify right side
    15,186.89x = 156,376,961.73
  5. Step 5: Solve for x
    x = 156,376,961.73/15,186.89
  6. Step 6: Final answer
    x = 10,296.84

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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.