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Finding the Fourth Proportional to 18,586.26, 27,821.07 and 9,794.52

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Solution

The fourth proportional to 18,586.26, 27,821.07 and 9,794.52 is: 14,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.26 : 27,821.07 = 9,794.52 : x
  2. Step 2: Convert to fraction form
    18,586.26/27,821.07 = 9,794.52/x
  3. Step 3: Cross multiply
    18,586.26x = 27,821.07 × 9,794.52
  4. Step 4: Simplify right side
    18,586.26x = 272,494,026.54
  5. Step 5: Solve for x
    x = 272,494,026.54/18,586.26
  6. Step 6: Final answer
    x = 14,661.05

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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.