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Finding the Fourth Proportional to 12,205.65, 18,299.97 and 5,622.78

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Solution

The fourth proportional to 12,205.65, 18,299.97 and 5,622.78 is: 8,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.65 : 18,299.97 = 5,622.78 : x
  2. Step 2: Convert to fraction form
    12,205.65/18,299.97 = 5,622.78/x
  3. Step 3: Cross multiply
    12,205.65x = 18,299.97 × 5,622.78
  4. Step 4: Simplify right side
    12,205.65x = 102,896,705.32
  5. Step 5: Solve for x
    x = 102,896,705.32/12,205.65
  6. Step 6: Final answer
    x = 8,430.25

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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.