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Finding the Fourth Proportional to 16,412.20, 22,648.83 and 8,960.20

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Solution

The fourth proportional to 16,412.20, 22,648.83 and 8,960.20 is: 12,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.20 : 22,648.83 = 8,960.20 : x
  2. Step 2: Convert to fraction form
    16,412.20/22,648.83 = 8,960.20/x
  3. Step 3: Cross multiply
    16,412.20x = 22,648.83 × 8,960.20
  4. Step 4: Simplify right side
    16,412.20x = 202,938,046.57
  5. Step 5: Solve for x
    x = 202,938,046.57/16,412.20
  6. Step 6: Final answer
    x = 12,365.07

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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.