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Finding the Fourth Proportional to 12,194.68, 18,299.28 and 11,203.24

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Solution

The fourth proportional to 12,194.68, 18,299.28 and 11,203.24 is: 16,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.68 : 18,299.28 = 11,203.24 : x
  2. Step 2: Convert to fraction form
    12,194.68/18,299.28 = 11,203.24/x
  3. Step 3: Cross multiply
    12,194.68x = 18,299.28 × 11,203.24
  4. Step 4: Simplify right side
    12,194.68x = 205,011,225.67
  5. Step 5: Solve for x
    x = 205,011,225.67/12,194.68
  6. Step 6: Final answer
    x = 16,811.53

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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.