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Finding the Fourth Proportional to 19,850.40, 29,764.80 and 8,164.80

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Solution

The fourth proportional to 19,850.40, 29,764.80 and 8,164.80 is: 12,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.40 : 29,764.80 = 8,164.80 : x
  2. Step 2: Convert to fraction form
    19,850.40/29,764.80 = 8,164.80/x
  3. Step 3: Cross multiply
    19,850.40x = 29,764.80 × 8,164.80
  4. Step 4: Simplify right side
    19,850.40x = 243,023,639.04
  5. Step 5: Solve for x
    x = 243,023,639.04/19,850.40
  6. Step 6: Final answer
    x = 12,242.76

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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.