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Finding the Fourth Proportional to 22,596.33, 33,872.00 and 10,729.29

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Solution

The fourth proportional to 22,596.33, 33,872.00 and 10,729.29 is: 16,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.33 : 33,872.00 = 10,729.29 : x
  2. Step 2: Convert to fraction form
    22,596.33/33,872.00 = 10,729.29/x
  3. Step 3: Cross multiply
    22,596.33x = 33,872.00 × 10,729.29
  4. Step 4: Simplify right side
    22,596.33x = 363,422,457.23
  5. Step 5: Solve for x
    x = 363,422,457.23/22,596.33
  6. Step 6: Final answer
    x = 16,083.25

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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.