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Finding the Fourth Proportional to 16,414.14, 22,651.65 and 9,341.03

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Solution

The fourth proportional to 16,414.14, 22,651.65 and 9,341.03 is: 12,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.14 : 22,651.65 = 9,341.03 : x
  2. Step 2: Convert to fraction form
    16,414.14/22,651.65 = 9,341.03/x
  3. Step 3: Cross multiply
    16,414.14x = 22,651.65 × 9,341.03
  4. Step 4: Simplify right side
    16,414.14x = 211,589,628.94
  5. Step 5: Solve for x
    x = 211,589,628.94/16,414.14
  6. Step 6: Final answer
    x = 12,890.69

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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.