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Finding the Fourth Proportional to 16,096.46, 22,211.64 and 9,021.50

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Solution

The fourth proportional to 16,096.46, 22,211.64 and 9,021.50 is: 12,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.46 : 22,211.64 = 9,021.50 : x
  2. Step 2: Convert to fraction form
    16,096.46/22,211.64 = 9,021.50/x
  3. Step 3: Cross multiply
    16,096.46x = 22,211.64 × 9,021.50
  4. Step 4: Simplify right side
    16,096.46x = 200,382,310.26
  5. Step 5: Solve for x
    x = 200,382,310.26/16,096.46
  6. Step 6: Final answer
    x = 12,448.84

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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.