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Finding the Fourth Proportional to 16,513.21, 22,786.72 and 9,797.68

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Solution

The fourth proportional to 16,513.21, 22,786.72 and 9,797.68 is: 13,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.21 : 22,786.72 = 9,797.68 : x
  2. Step 2: Convert to fraction form
    16,513.21/22,786.72 = 9,797.68/x
  3. Step 3: Cross multiply
    16,513.21x = 22,786.72 × 9,797.68
  4. Step 4: Simplify right side
    16,513.21x = 223,256,990.81
  5. Step 5: Solve for x
    x = 223,256,990.81/16,513.21
  6. Step 6: Final answer
    x = 13,519.90

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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.