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Finding the Fourth Proportional to 12,224.96, 18,341.09 and 7,027.19

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Solution

The fourth proportional to 12,224.96, 18,341.09 and 7,027.19 is: 10,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.96 : 18,341.09 = 7,027.19 : x
  2. Step 2: Convert to fraction form
    12,224.96/18,341.09 = 7,027.19/x
  3. Step 3: Cross multiply
    12,224.96x = 18,341.09 × 7,027.19
  4. Step 4: Simplify right side
    12,224.96x = 128,886,324.24
  5. Step 5: Solve for x
    x = 128,886,324.24/12,224.96
  6. Step 6: Final answer
    x = 10,542.88

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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.