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Finding the Fourth Proportional to 16,809.50, 23,197.11 and 9,738.20

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Solution

The fourth proportional to 16,809.50, 23,197.11 and 9,738.20 is: 13,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.50 : 23,197.11 = 9,738.20 : x
  2. Step 2: Convert to fraction form
    16,809.50/23,197.11 = 9,738.20/x
  3. Step 3: Cross multiply
    16,809.50x = 23,197.11 × 9,738.20
  4. Step 4: Simplify right side
    16,809.50x = 225,898,096.60
  5. Step 5: Solve for x
    x = 225,898,096.60/16,809.50
  6. Step 6: Final answer
    x = 13,438.72

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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.