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Finding the Fourth Proportional to 23,961, 33,064.84 and 13,205.52

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Solution

The fourth proportional to 23,961, 33,064.84 and 13,205.52 is: 18,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,961 : 33,064.84 = 13,205.52 : x
  2. Step 2: Convert to fraction form
    23,961/33,064.84 = 13,205.52/x
  3. Step 3: Cross multiply
    23,961x = 33,064.84 × 13,205.52
  4. Step 4: Simplify right side
    23,961x = 436,638,405.92
  5. Step 5: Solve for x
    x = 436,638,405.92/23,961
  6. Step 6: Final answer
    x = 18,222.88

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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.