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Finding the Fourth Proportional to 16,241.24, 22,412.80 and 8,789.24

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Solution

The fourth proportional to 16,241.24, 22,412.80 and 8,789.24 is: 12,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.24 : 22,412.80 = 8,789.24 : x
  2. Step 2: Convert to fraction form
    16,241.24/22,412.80 = 8,789.24/x
  3. Step 3: Cross multiply
    16,241.24x = 22,412.80 × 8,789.24
  4. Step 4: Simplify right side
    16,241.24x = 196,991,478.27
  5. Step 5: Solve for x
    x = 196,991,478.27/16,241.24
  6. Step 6: Final answer
    x = 12,129.09

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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.