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Finding the Fourth Proportional to 17,171.74, 23,699 and 10,461.31

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Solution

The fourth proportional to 17,171.74, 23,699 and 10,461.31 is: 14,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.74 : 23,699 = 10,461.31 : x
  2. Step 2: Convert to fraction form
    17,171.74/23,699 = 10,461.31/x
  3. Step 3: Cross multiply
    17,171.74x = 23,699 × 10,461.31
  4. Step 4: Simplify right side
    17,171.74x = 247,922,585.69
  5. Step 5: Solve for x
    x = 247,922,585.69/17,171.74
  6. Step 6: Final answer
    x = 14,437.83

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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.