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Finding the Fourth Proportional to 15,183.26, 22,776.81 and 5,948.06

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Solution

The fourth proportional to 15,183.26, 22,776.81 and 5,948.06 is: 8,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,183.26 : 22,776.81 = 5,948.06 : x
  2. Step 2: Convert to fraction form
    15,183.26/22,776.81 = 5,948.06/x
  3. Step 3: Cross multiply
    15,183.26x = 22,776.81 × 5,948.06
  4. Step 4: Simplify right side
    15,183.26x = 135,477,832.49
  5. Step 5: Solve for x
    x = 135,477,832.49/15,183.26
  6. Step 6: Final answer
    x = 8,922.84

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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.