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Finding the Fourth Proportional to 23,471.96, 32,392.11 and 12,861.59

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Solution

The fourth proportional to 23,471.96, 32,392.11 and 12,861.59 is: 17,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.96 : 32,392.11 = 12,861.59 : x
  2. Step 2: Convert to fraction form
    23,471.96/32,392.11 = 12,861.59/x
  3. Step 3: Cross multiply
    23,471.96x = 32,392.11 × 12,861.59
  4. Step 4: Simplify right side
    23,471.96x = 416,613,876.09
  5. Step 5: Solve for x
    x = 416,613,876.09/23,471.96
  6. Step 6: Final answer
    x = 17,749.43

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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.