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Finding the Fourth Proportional to 16,204.83, 22,362.67 and 8,752.83

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Solution

The fourth proportional to 16,204.83, 22,362.67 and 8,752.83 is: 12,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.83 : 22,362.67 = 8,752.83 : x
  2. Step 2: Convert to fraction form
    16,204.83/22,362.67 = 8,752.83/x
  3. Step 3: Cross multiply
    16,204.83x = 22,362.67 × 8,752.83
  4. Step 4: Simplify right side
    16,204.83x = 195,736,648.86
  5. Step 5: Solve for x
    x = 195,736,648.86/16,204.83
  6. Step 6: Final answer
    x = 12,078.91

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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.