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Finding the Fourth Proportional to 23,104.31, 31,883.90 and 12,493.89

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Solution

The fourth proportional to 23,104.31, 31,883.90 and 12,493.89 is: 17,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.31 : 31,883.90 = 12,493.89 : x
  2. Step 2: Convert to fraction form
    23,104.31/31,883.90 = 12,493.89/x
  3. Step 3: Cross multiply
    23,104.31x = 31,883.90 × 12,493.89
  4. Step 4: Simplify right side
    23,104.31x = 398,353,876.90
  5. Step 5: Solve for x
    x = 398,353,876.90/23,104.31
  6. Step 6: Final answer
    x = 17,241.54

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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.