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Finding the Fourth Proportional to 22,014.92, 32,965.99 and 12,143.25

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Solution

The fourth proportional to 22,014.92, 32,965.99 and 12,143.25 is: 18,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.92 : 32,965.99 = 12,143.25 : x
  2. Step 2: Convert to fraction form
    22,014.92/32,965.99 = 12,143.25/x
  3. Step 3: Cross multiply
    22,014.92x = 32,965.99 × 12,143.25
  4. Step 4: Simplify right side
    22,014.92x = 400,314,227.71
  5. Step 5: Solve for x
    x = 400,314,227.71/22,014.92
  6. Step 6: Final answer
    x = 18,183.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.