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Finding the Fourth Proportional to 16,097.46, 22,213.02 and 9,022.50

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Solution

The fourth proportional to 16,097.46, 22,213.02 and 9,022.50 is: 12,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.46 : 22,213.02 = 9,022.50 : x
  2. Step 2: Convert to fraction form
    16,097.46/22,213.02 = 9,022.50/x
  3. Step 3: Cross multiply
    16,097.46x = 22,213.02 × 9,022.50
  4. Step 4: Simplify right side
    16,097.46x = 200,416,972.95
  5. Step 5: Solve for x
    x = 200,416,972.95/16,097.46
  6. Step 6: Final answer
    x = 12,450.22

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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.