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Finding the Fourth Proportional to 13,772.67, 20,658.83 and 3,384.51

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Solution

The fourth proportional to 13,772.67, 20,658.83 and 3,384.51 is: 5,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.67 : 20,658.83 = 3,384.51 : x
  2. Step 2: Convert to fraction form
    13,772.67/20,658.83 = 3,384.51/x
  3. Step 3: Cross multiply
    13,772.67x = 20,658.83 × 3,384.51
  4. Step 4: Simplify right side
    13,772.67x = 69,919,999.80
  5. Step 5: Solve for x
    x = 69,919,999.80/13,772.67
  6. Step 6: Final answer
    x = 5,076.72

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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.