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Finding the Fourth Proportional to 13,093, 19,640.11 and 3,733.66

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Solution

The fourth proportional to 13,093, 19,640.11 and 3,733.66 is: 5,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093 : 19,640.11 = 3,733.66 : x
  2. Step 2: Convert to fraction form
    13,093/19,640.11 = 3,733.66/x
  3. Step 3: Cross multiply
    13,093x = 19,640.11 × 3,733.66
  4. Step 4: Simplify right side
    13,093x = 73,329,493.10
  5. Step 5: Solve for x
    x = 73,329,493.10/13,093
  6. Step 6: Final answer
    x = 5,600.66

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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.