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Finding the Fourth Proportional to 14,206.74, 19,609.86 and 8,244.30

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Solution

The fourth proportional to 14,206.74, 19,609.86 and 8,244.30 is: 11,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.74 : 19,609.86 = 8,244.30 : x
  2. Step 2: Convert to fraction form
    14,206.74/19,609.86 = 8,244.30/x
  3. Step 3: Cross multiply
    14,206.74x = 19,609.86 × 8,244.30
  4. Step 4: Simplify right side
    14,206.74x = 161,669,568.80
  5. Step 5: Solve for x
    x = 161,669,568.80/14,206.74
  6. Step 6: Final answer
    x = 11,379.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.