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Finding the Fourth Proportional to 13,362.78, 18,442.60 and 7,696.43

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Solution

The fourth proportional to 13,362.78, 18,442.60 and 7,696.43 is: 10,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362.78 : 18,442.60 = 7,696.43 : x
  2. Step 2: Convert to fraction form
    13,362.78/18,442.60 = 7,696.43/x
  3. Step 3: Cross multiply
    13,362.78x = 18,442.60 × 7,696.43
  4. Step 4: Simplify right side
    13,362.78x = 141,942,049.22
  5. Step 5: Solve for x
    x = 141,942,049.22/13,362.78
  6. Step 6: Final answer
    x = 10,622.19

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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.