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Finding the Fourth Proportional to 13,112.82, 18,095.74 and 7,144.54

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Solution

The fourth proportional to 13,112.82, 18,095.74 and 7,144.54 is: 9,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.82 : 18,095.74 = 7,144.54 : x
  2. Step 2: Convert to fraction form
    13,112.82/18,095.74 = 7,144.54/x
  3. Step 3: Cross multiply
    13,112.82x = 18,095.74 × 7,144.54
  4. Step 4: Simplify right side
    13,112.82x = 129,285,675.16
  5. Step 5: Solve for x
    x = 129,285,675.16/13,112.82
  6. Step 6: Final answer
    x = 9,859.49

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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.