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Finding the Fourth Proportional to 16,778.39, 23,154.22 and 9,225.49

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Solution

The fourth proportional to 16,778.39, 23,154.22 and 9,225.49 is: 12,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778.39 : 23,154.22 = 9,225.49 : x
  2. Step 2: Convert to fraction form
    16,778.39/23,154.22 = 9,225.49/x
  3. Step 3: Cross multiply
    16,778.39x = 23,154.22 × 9,225.49
  4. Step 4: Simplify right side
    16,778.39x = 213,608,944.12
  5. Step 5: Solve for x
    x = 213,608,944.12/16,778.39
  6. Step 6: Final answer
    x = 12,731.20

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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.