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Finding the Fourth Proportional to 14,206.56, 19,609.16 and 8,239.56

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Solution

The fourth proportional to 14,206.56, 19,609.16 and 8,239.56 is: 11,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.56 : 19,609.16 = 8,239.56 : x
  2. Step 2: Convert to fraction form
    14,206.56/19,609.16 = 8,239.56/x
  3. Step 3: Cross multiply
    14,206.56x = 19,609.16 × 8,239.56
  4. Step 4: Simplify right side
    14,206.56x = 161,570,850.37
  5. Step 5: Solve for x
    x = 161,570,850.37/14,206.56
  6. Step 6: Final answer
    x = 11,372.97

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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.