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Finding the Fourth Proportional to 18,205.60, 27,319.02 and 7,674.98

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Solution

The fourth proportional to 18,205.60, 27,319.02 and 7,674.98 is: 11,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.60 : 27,319.02 = 7,674.98 : x
  2. Step 2: Convert to fraction form
    18,205.60/27,319.02 = 7,674.98/x
  3. Step 3: Cross multiply
    18,205.60x = 27,319.02 × 7,674.98
  4. Step 4: Simplify right side
    18,205.60x = 209,672,932.12
  5. Step 5: Solve for x
    x = 209,672,932.12/18,205.60
  6. Step 6: Final answer
    x = 11,516.95

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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.