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Finding the Fourth Proportional to 14,651.68, 20,274.96 and 12,794.08

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Solution

The fourth proportional to 14,651.68, 20,274.96 and 12,794.08 is: 17,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.68 : 20,274.96 = 12,794.08 : x
  2. Step 2: Convert to fraction form
    14,651.68/20,274.96 = 12,794.08/x
  3. Step 3: Cross multiply
    14,651.68x = 20,274.96 × 12,794.08
  4. Step 4: Simplify right side
    14,651.68x = 259,399,460.24
  5. Step 5: Solve for x
    x = 259,399,460.24/14,651.68
  6. Step 6: Final answer
    x = 17,704.42

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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.