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Finding the Fourth Proportional to 20,786.22, 28,674.68 and 12,284.22

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Solution

The fourth proportional to 20,786.22, 28,674.68 and 12,284.22 is: 16,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786.22 : 28,674.68 = 12,284.22 : x
  2. Step 2: Convert to fraction form
    20,786.22/28,674.68 = 12,284.22/x
  3. Step 3: Cross multiply
    20,786.22x = 28,674.68 × 12,284.22
  4. Step 4: Simplify right side
    20,786.22x = 352,246,077.55
  5. Step 5: Solve for x
    x = 352,246,077.55/20,786.22
  6. Step 6: Final answer
    x = 16,946.13

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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.