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Finding the Fourth Proportional to 13,092.30, 19,640.07 and 4,208.22

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Solution

The fourth proportional to 13,092.30, 19,640.07 and 4,208.22 is: 6,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.30 : 19,640.07 = 4,208.22 : x
  2. Step 2: Convert to fraction form
    13,092.30/19,640.07 = 4,208.22/x
  3. Step 3: Cross multiply
    13,092.30x = 19,640.07 × 4,208.22
  4. Step 4: Simplify right side
    13,092.30x = 82,649,735.38
  5. Step 5: Solve for x
    x = 82,649,735.38/13,092.30
  6. Step 6: Final answer
    x = 6,312.85

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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.