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Finding the Fourth Proportional to 15,194.10, 20,961.54 and 10,092

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Solution

The fourth proportional to 15,194.10, 20,961.54 and 10,092 is: 13,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.10 : 20,961.54 = 10,092 : x
  2. Step 2: Convert to fraction form
    15,194.10/20,961.54 = 10,092/x
  3. Step 3: Cross multiply
    15,194.10x = 20,961.54 × 10,092
  4. Step 4: Simplify right side
    15,194.10x = 211,543,861.68
  5. Step 5: Solve for x
    x = 211,543,861.68/15,194.10
  6. Step 6: Final answer
    x = 13,922.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.