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Finding the Fourth Proportional to 16,216.95, 22,380.75 and 9,144.84

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Solution

The fourth proportional to 16,216.95, 22,380.75 and 9,144.84 is: 12,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.95 : 22,380.75 = 9,144.84 : x
  2. Step 2: Convert to fraction form
    16,216.95/22,380.75 = 9,144.84/x
  3. Step 3: Cross multiply
    16,216.95x = 22,380.75 × 9,144.84
  4. Step 4: Simplify right side
    16,216.95x = 204,668,377.83
  5. Step 5: Solve for x
    x = 204,668,377.83/16,216.95
  6. Step 6: Final answer
    x = 12,620.65

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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.