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Finding the Fourth Proportional to 18,197.30, 27,295.94 and 10,400.64

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Solution

The fourth proportional to 18,197.30, 27,295.94 and 10,400.64 is: 15,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,197.30 : 27,295.94 = 10,400.64 : x
  2. Step 2: Convert to fraction form
    18,197.30/27,295.94 = 10,400.64/x
  3. Step 3: Cross multiply
    18,197.30x = 27,295.94 × 10,400.64
  4. Step 4: Simplify right side
    18,197.30x = 283,895,245.40
  5. Step 5: Solve for x
    x = 283,895,245.40/18,197.30
  6. Step 6: Final answer
    x = 15,600.95

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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.