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Finding the Fourth Proportional to 14,008.24, 20,903.09 and 12,766.24

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Solution

The fourth proportional to 14,008.24, 20,903.09 and 12,766.24 is: 19,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.24 : 20,903.09 = 12,766.24 : x
  2. Step 2: Convert to fraction form
    14,008.24/20,903.09 = 12,766.24/x
  3. Step 3: Cross multiply
    14,008.24x = 20,903.09 × 12,766.24
  4. Step 4: Simplify right side
    14,008.24x = 266,853,863.68
  5. Step 5: Solve for x
    x = 266,853,863.68/14,008.24
  6. Step 6: Final answer
    x = 19,049.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.