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Finding the Fourth Proportional to 16,222.60, 24,323.10 and 7,906.60

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Solution

The fourth proportional to 16,222.60, 24,323.10 and 7,906.60 is: 11,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.60 : 24,323.10 = 7,906.60 : x
  2. Step 2: Convert to fraction form
    16,222.60/24,323.10 = 7,906.60/x
  3. Step 3: Cross multiply
    16,222.60x = 24,323.10 × 7,906.60
  4. Step 4: Simplify right side
    16,222.60x = 192,313,022.46
  5. Step 5: Solve for x
    x = 192,313,022.46/16,222.60
  6. Step 6: Final answer
    x = 11,854.64

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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.