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Finding the Fourth Proportional to 14,209.91, 19,609.64 and 8,245.07

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Solution

The fourth proportional to 14,209.91, 19,609.64 and 8,245.07 is: 11,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.91 : 19,609.64 = 8,245.07 : x
  2. Step 2: Convert to fraction form
    14,209.91/19,609.64 = 8,245.07/x
  3. Step 3: Cross multiply
    14,209.91x = 19,609.64 × 8,245.07
  4. Step 4: Simplify right side
    14,209.91x = 161,682,854.47
  5. Step 5: Solve for x
    x = 161,682,854.47/14,209.91
  6. Step 6: Final answer
    x = 11,378.18

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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.