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Finding the Fourth Proportional to 12,099.97, 18,141.48 and 6,178.67

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Solution

The fourth proportional to 12,099.97, 18,141.48 and 6,178.67 is: 9,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.97 : 18,141.48 = 6,178.67 : x
  2. Step 2: Convert to fraction form
    12,099.97/18,141.48 = 6,178.67/x
  3. Step 3: Cross multiply
    12,099.97x = 18,141.48 × 6,178.67
  4. Step 4: Simplify right side
    12,099.97x = 112,090,218.23
  5. Step 5: Solve for x
    x = 112,090,218.23/12,099.97
  6. Step 6: Final answer
    x = 9,263.68

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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.