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Finding the Fourth Proportional to 16,230.82, 22,398.52 and 8,778.82

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Solution

The fourth proportional to 16,230.82, 22,398.52 and 8,778.82 is: 12,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.82 : 22,398.52 = 8,778.82 : x
  2. Step 2: Convert to fraction form
    16,230.82/22,398.52 = 8,778.82/x
  3. Step 3: Cross multiply
    16,230.82x = 22,398.52 × 8,778.82
  4. Step 4: Simplify right side
    16,230.82x = 196,632,575.35
  5. Step 5: Solve for x
    x = 196,632,575.35/16,230.82
  6. Step 6: Final answer
    x = 12,114.77

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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.