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Finding the Fourth Proportional to 16,216.42, 22,375.78 and 9,142.84

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Solution

The fourth proportional to 16,216.42, 22,375.78 and 9,142.84 is: 12,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.42 : 22,375.78 = 9,142.84 : x
  2. Step 2: Convert to fraction form
    16,216.42/22,375.78 = 9,142.84/x
  3. Step 3: Cross multiply
    16,216.42x = 22,375.78 × 9,142.84
  4. Step 4: Simplify right side
    16,216.42x = 204,578,176.42
  5. Step 5: Solve for x
    x = 204,578,176.42/16,216.42
  6. Step 6: Final answer
    x = 12,615.50

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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.