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Finding the Fourth Proportional to 12,629.66, 17,420.27 and 7,324.56

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Solution

The fourth proportional to 12,629.66, 17,420.27 and 7,324.56 is: 10,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.66 : 17,420.27 = 7,324.56 : x
  2. Step 2: Convert to fraction form
    12,629.66/17,420.27 = 7,324.56/x
  3. Step 3: Cross multiply
    12,629.66x = 17,420.27 × 7,324.56
  4. Step 4: Simplify right side
    12,629.66x = 127,595,776.21
  5. Step 5: Solve for x
    x = 127,595,776.21/12,629.66
  6. Step 6: Final answer
    x = 10,102.87

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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.