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Finding the Fourth Proportional to 16,216.96, 22,377.84 and 9,144.48

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Solution

The fourth proportional to 16,216.96, 22,377.84 and 9,144.48 is: 12,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.96 : 22,377.84 = 9,144.48 : x
  2. Step 2: Convert to fraction form
    16,216.96/22,377.84 = 9,144.48/x
  3. Step 3: Cross multiply
    16,216.96x = 22,377.84 × 9,144.48
  4. Step 4: Simplify right side
    16,216.96x = 204,633,710.32
  5. Step 5: Solve for x
    x = 204,633,710.32/16,216.96
  6. Step 6: Final answer
    x = 12,618.50

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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.