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Finding the Fourth Proportional to 16,414.77, 22,651.99 and 9,146.81

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Solution

The fourth proportional to 16,414.77, 22,651.99 and 9,146.81 is: 12,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.77 : 22,651.99 = 9,146.81 : x
  2. Step 2: Convert to fraction form
    16,414.77/22,651.99 = 9,146.81/x
  3. Step 3: Cross multiply
    16,414.77x = 22,651.99 × 9,146.81
  4. Step 4: Simplify right side
    16,414.77x = 207,193,289.66
  5. Step 5: Solve for x
    x = 207,193,289.66/16,414.77
  6. Step 6: Final answer
    x = 12,622.37

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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.