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Finding the Fourth Proportional to 18,205.31, 27,318.59 and 7,674.69

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Solution

The fourth proportional to 18,205.31, 27,318.59 and 7,674.69 is: 11,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.31 : 27,318.59 = 7,674.69 : x
  2. Step 2: Convert to fraction form
    18,205.31/27,318.59 = 7,674.69/x
  3. Step 3: Cross multiply
    18,205.31x = 27,318.59 × 7,674.69
  4. Step 4: Simplify right side
    18,205.31x = 209,661,671.11
  5. Step 5: Solve for x
    x = 209,661,671.11/18,205.31
  6. Step 6: Final answer
    x = 11,516.52

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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.