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Finding the Fourth Proportional to 12,072.45, 18,102.60 and 7,143.60

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Solution

The fourth proportional to 12,072.45, 18,102.60 and 7,143.60 is: 10,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.45 : 18,102.60 = 7,143.60 : x
  2. Step 2: Convert to fraction form
    12,072.45/18,102.60 = 7,143.60/x
  3. Step 3: Cross multiply
    12,072.45x = 18,102.60 × 7,143.60
  4. Step 4: Simplify right side
    12,072.45x = 129,317,733.36
  5. Step 5: Solve for x
    x = 129,317,733.36/12,072.45
  6. Step 6: Final answer
    x = 10,711.81

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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.