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Finding the Fourth Proportional to 22,463.92, 30,998.46 and 13,033.09

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Solution

The fourth proportional to 22,463.92, 30,998.46 and 13,033.09 is: 17,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.92 : 30,998.46 = 13,033.09 : x
  2. Step 2: Convert to fraction form
    22,463.92/30,998.46 = 13,033.09/x
  3. Step 3: Cross multiply
    22,463.92x = 30,998.46 × 13,033.09
  4. Step 4: Simplify right side
    22,463.92x = 404,005,719.04
  5. Step 5: Solve for x
    x = 404,005,719.04/22,463.92
  6. Step 6: Final answer
    x = 17,984.65

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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.