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Finding the Fourth Proportional to 15,027.96, 20,738.82 and 8,313.48

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Solution

The fourth proportional to 15,027.96, 20,738.82 and 8,313.48 is: 11,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,027.96 : 20,738.82 = 8,313.48 : x
  2. Step 2: Convert to fraction form
    15,027.96/20,738.82 = 8,313.48/x
  3. Step 3: Cross multiply
    15,027.96x = 20,738.82 × 8,313.48
  4. Step 4: Simplify right side
    15,027.96x = 172,411,765.29
  5. Step 5: Solve for x
    x = 172,411,765.29/15,027.96
  6. Step 6: Final answer
    x = 11,472.73

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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.