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Finding the Fourth Proportional to 16,424, 22,651.68 and 10,137.92

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Solution

The fourth proportional to 16,424, 22,651.68 and 10,137.92 is: 13,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424 : 22,651.68 = 10,137.92 : x
  2. Step 2: Convert to fraction form
    16,424/22,651.68 = 10,137.92/x
  3. Step 3: Cross multiply
    16,424x = 22,651.68 × 10,137.92
  4. Step 4: Simplify right side
    16,424x = 229,640,919.71
  5. Step 5: Solve for x
    x = 229,640,919.71/16,424
  6. Step 6: Final answer
    x = 13,982.03

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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.