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Finding the Fourth Proportional to 12,735.64, 17,576.70 and 7,147.48

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Solution

The fourth proportional to 12,735.64, 17,576.70 and 7,147.48 is: 9,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.64 : 17,576.70 = 7,147.48 : x
  2. Step 2: Convert to fraction form
    12,735.64/17,576.70 = 7,147.48/x
  3. Step 3: Cross multiply
    12,735.64x = 17,576.70 × 7,147.48
  4. Step 4: Simplify right side
    12,735.64x = 125,629,111.72
  5. Step 5: Solve for x
    x = 125,629,111.72/12,735.64
  6. Step 6: Final answer
    x = 9,864.37

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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.