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Finding the Fourth Proportional to 12,903.24, 17,762.72 and 11,576.48

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Solution

The fourth proportional to 12,903.24, 17,762.72 and 11,576.48 is: 15,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.24 : 17,762.72 = 11,576.48 : x
  2. Step 2: Convert to fraction form
    12,903.24/17,762.72 = 11,576.48/x
  3. Step 3: Cross multiply
    12,903.24x = 17,762.72 × 11,576.48
  4. Step 4: Simplify right side
    12,903.24x = 205,629,772.83
  5. Step 5: Solve for x
    x = 205,629,772.83/12,903.24
  6. Step 6: Final answer
    x = 15,936.29

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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.