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Finding the Fourth Proportional to 12,351.66, 17,046.99 and 7,574.46

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Solution

The fourth proportional to 12,351.66, 17,046.99 and 7,574.46 is: 10,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.66 : 17,046.99 = 7,574.46 : x
  2. Step 2: Convert to fraction form
    12,351.66/17,046.99 = 7,574.46/x
  3. Step 3: Cross multiply
    12,351.66x = 17,046.99 × 7,574.46
  4. Step 4: Simplify right side
    12,351.66x = 129,121,743.88
  5. Step 5: Solve for x
    x = 129,121,743.88/12,351.66
  6. Step 6: Final answer
    x = 10,453.80

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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.