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Finding the Fourth Proportional to 13,696.10, 18,900.24 and 7,727.42

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Solution

The fourth proportional to 13,696.10, 18,900.24 and 7,727.42 is: 10,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.10 : 18,900.24 = 7,727.42 : x
  2. Step 2: Convert to fraction form
    13,696.10/18,900.24 = 7,727.42/x
  3. Step 3: Cross multiply
    13,696.10x = 18,900.24 × 7,727.42
  4. Step 4: Simplify right side
    13,696.10x = 146,050,092.58
  5. Step 5: Solve for x
    x = 146,050,092.58/13,696.10
  6. Step 6: Final answer
    x = 10,663.63

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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.