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Finding the Fourth Proportional to 12,501.92, 17,238.90 and 8,023.97

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Solution

The fourth proportional to 12,501.92, 17,238.90 and 8,023.97 is: 11,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.92 : 17,238.90 = 8,023.97 : x
  2. Step 2: Convert to fraction form
    12,501.92/17,238.90 = 8,023.97/x
  3. Step 3: Cross multiply
    12,501.92x = 17,238.90 × 8,023.97
  4. Step 4: Simplify right side
    12,501.92x = 138,324,416.43
  5. Step 5: Solve for x
    x = 138,324,416.43/12,501.92
  6. Step 6: Final answer
    x = 11,064.25

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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.