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Finding the Fourth Proportional to 15,183.81, 22,782.29 and 8,155.62

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Solution

The fourth proportional to 15,183.81, 22,782.29 and 8,155.62 is: 12,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,183.81 : 22,782.29 = 8,155.62 : x
  2. Step 2: Convert to fraction form
    15,183.81/22,782.29 = 8,155.62/x
  3. Step 3: Cross multiply
    15,183.81x = 22,782.29 × 8,155.62
  4. Step 4: Simplify right side
    15,183.81x = 185,803,659.19
  5. Step 5: Solve for x
    x = 185,803,659.19/15,183.81
  6. Step 6: Final answer
    x = 12,236.96

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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.