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Finding the Fourth Proportional to 12,219.41, 16,856.91 and 7,183.38

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Solution

The fourth proportional to 12,219.41, 16,856.91 and 7,183.38 is: 9,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.41 : 16,856.91 = 7,183.38 : x
  2. Step 2: Convert to fraction form
    12,219.41/16,856.91 = 7,183.38/x
  3. Step 3: Cross multiply
    12,219.41x = 16,856.91 × 7,183.38
  4. Step 4: Simplify right side
    12,219.41x = 121,089,653.37
  5. Step 5: Solve for x
    x = 121,089,653.37/12,219.41
  6. Step 6: Final answer
    x = 9,909.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.