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Finding the Fourth Proportional to 16,097.69, 22,212.17 and 10,440.19

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Solution

The fourth proportional to 16,097.69, 22,212.17 and 10,440.19 is: 14,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.69 : 22,212.17 = 10,440.19 : x
  2. Step 2: Convert to fraction form
    16,097.69/22,212.17 = 10,440.19/x
  3. Step 3: Cross multiply
    16,097.69x = 22,212.17 × 10,440.19
  4. Step 4: Simplify right side
    16,097.69x = 231,899,348.55
  5. Step 5: Solve for x
    x = 231,899,348.55/16,097.69
  6. Step 6: Final answer
    x = 14,405.76

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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.