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Finding the Fourth Proportional to 13,892.72, 20,830.86 and 5,576.66

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Solution

The fourth proportional to 13,892.72, 20,830.86 and 5,576.66 is: 8,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.72 : 20,830.86 = 5,576.66 : x
  2. Step 2: Convert to fraction form
    13,892.72/20,830.86 = 5,576.66/x
  3. Step 3: Cross multiply
    13,892.72x = 20,830.86 × 5,576.66
  4. Step 4: Simplify right side
    13,892.72x = 116,166,623.73
  5. Step 5: Solve for x
    x = 116,166,623.73/13,892.72
  6. Step 6: Final answer
    x = 8,361.69

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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.