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Finding the Fourth Proportional to 23,882, 35,822.92 and 13,493.68

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Solution

The fourth proportional to 23,882, 35,822.92 and 13,493.68 is: 20,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882 : 35,822.92 = 13,493.68 : x
  2. Step 2: Convert to fraction form
    23,882/35,822.92 = 13,493.68/x
  3. Step 3: Cross multiply
    23,882x = 35,822.92 × 13,493.68
  4. Step 4: Simplify right side
    23,882x = 483,383,019.15
  5. Step 5: Solve for x
    x = 483,383,019.15/23,882
  6. Step 6: Final answer
    x = 20,240.47

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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.