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Finding the Fourth Proportional to 22,241.68, 30,693.20 and 12,169.92

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Solution

The fourth proportional to 22,241.68, 30,693.20 and 12,169.92 is: 16,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.68 : 30,693.20 = 12,169.92 : x
  2. Step 2: Convert to fraction form
    22,241.68/30,693.20 = 12,169.92/x
  3. Step 3: Cross multiply
    22,241.68x = 30,693.20 × 12,169.92
  4. Step 4: Simplify right side
    22,241.68x = 373,533,788.54
  5. Step 5: Solve for x
    x = 373,533,788.54/22,241.68
  6. Step 6: Final answer
    x = 16,794.32

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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.