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Finding the Fourth Proportional to 23,997.84, 35,984.16 and 12,906.96

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Solution

The fourth proportional to 23,997.84, 35,984.16 and 12,906.96 is: 19,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,997.84 : 35,984.16 = 12,906.96 : x
  2. Step 2: Convert to fraction form
    23,997.84/35,984.16 = 12,906.96/x
  3. Step 3: Cross multiply
    23,997.84x = 35,984.16 × 12,906.96
  4. Step 4: Simplify right side
    23,997.84x = 464,446,113.75
  5. Step 5: Solve for x
    x = 464,446,113.75/23,997.84
  6. Step 6: Final answer
    x = 19,353.66

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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.