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Finding the Fourth Proportional to 10,171.99, 14,042.60 and 7,022.71

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Solution

The fourth proportional to 10,171.99, 14,042.60 and 7,022.71 is: 9,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.99 : 14,042.60 = 7,022.71 : x
  2. Step 2: Convert to fraction form
    10,171.99/14,042.60 = 7,022.71/x
  3. Step 3: Cross multiply
    10,171.99x = 14,042.60 × 7,022.71
  4. Step 4: Simplify right side
    10,171.99x = 98,617,107.45
  5. Step 5: Solve for x
    x = 98,617,107.45/10,171.99
  6. Step 6: Final answer
    x = 9,694.97

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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.