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Finding the Fourth Proportional to 14,861.98, 20,505.44 and 9,194

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Solution

The fourth proportional to 14,861.98, 20,505.44 and 9,194 is: 12,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.98 : 20,505.44 = 9,194 : x
  2. Step 2: Convert to fraction form
    14,861.98/20,505.44 = 9,194/x
  3. Step 3: Cross multiply
    14,861.98x = 20,505.44 × 9,194
  4. Step 4: Simplify right side
    14,861.98x = 188,527,015.36
  5. Step 5: Solve for x
    x = 188,527,015.36/14,861.98
  6. Step 6: Final answer
    x = 12,685.19

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Why These Related Problems?

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