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Finding the Fourth Proportional to 14,597.44, 20,144.49 and 8,309.81

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Solution

The fourth proportional to 14,597.44, 20,144.49 and 8,309.81 is: 11,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.44 : 20,144.49 = 8,309.81 : x
  2. Step 2: Convert to fraction form
    14,597.44/20,144.49 = 8,309.81/x
  3. Step 3: Cross multiply
    14,597.44x = 20,144.49 × 8,309.81
  4. Step 4: Simplify right side
    14,597.44x = 167,396,903.65
  5. Step 5: Solve for x
    x = 167,396,903.65/14,597.44
  6. Step 6: Final answer
    x = 11,467.55

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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.