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Finding the Fourth Proportional to 12,057.49, 18,063.75 and 7,112.44

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Solution

The fourth proportional to 12,057.49, 18,063.75 and 7,112.44 is: 10,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.49 : 18,063.75 = 7,112.44 : x
  2. Step 2: Convert to fraction form
    12,057.49/18,063.75 = 7,112.44/x
  3. Step 3: Cross multiply
    12,057.49x = 18,063.75 × 7,112.44
  4. Step 4: Simplify right side
    12,057.49x = 128,477,247.73
  5. Step 5: Solve for x
    x = 128,477,247.73/12,057.49
  6. Step 6: Final answer
    x = 10,655.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.