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Finding the Fourth Proportional to 16,494.14, 22,760.10 and 9,419.21

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Solution

The fourth proportional to 16,494.14, 22,760.10 and 9,419.21 is: 12,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.14 : 22,760.10 = 9,419.21 : x
  2. Step 2: Convert to fraction form
    16,494.14/22,760.10 = 9,419.21/x
  3. Step 3: Cross multiply
    16,494.14x = 22,760.10 × 9,419.21
  4. Step 4: Simplify right side
    16,494.14x = 214,382,161.52
  5. Step 5: Solve for x
    x = 214,382,161.52/16,494.14
  6. Step 6: Final answer
    x = 12,997.47

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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.