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Finding the Fourth Proportional to 14,613.95, 20,162.49 and 8,942.78

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Solution

The fourth proportional to 14,613.95, 20,162.49 and 8,942.78 is: 12,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.95 : 20,162.49 = 8,942.78 : x
  2. Step 2: Convert to fraction form
    14,613.95/20,162.49 = 8,942.78/x
  3. Step 3: Cross multiply
    14,613.95x = 20,162.49 × 8,942.78
  4. Step 4: Simplify right side
    14,613.95x = 180,308,566.80
  5. Step 5: Solve for x
    x = 180,308,566.80/14,613.95
  6. Step 6: Final answer
    x = 12,338.12

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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.