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Finding the Fourth Proportional to 16,466.64, 22,723.76 and 8,912.80

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Solution

The fourth proportional to 16,466.64, 22,723.76 and 8,912.80 is: 12,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.64 : 22,723.76 = 8,912.80 : x
  2. Step 2: Convert to fraction form
    16,466.64/22,723.76 = 8,912.80/x
  3. Step 3: Cross multiply
    16,466.64x = 22,723.76 × 8,912.80
  4. Step 4: Simplify right side
    16,466.64x = 202,532,328.13
  5. Step 5: Solve for x
    x = 202,532,328.13/16,466.64
  6. Step 6: Final answer
    x = 12,299.55

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1.5x scale

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.