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Finding the Fourth Proportional to 12,461.52, 17,201.49 and 7,682.25

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Solution

The fourth proportional to 12,461.52, 17,201.49 and 7,682.25 is: 10,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.52 : 17,201.49 = 7,682.25 : x
  2. Step 2: Convert to fraction form
    12,461.52/17,201.49 = 7,682.25/x
  3. Step 3: Cross multiply
    12,461.52x = 17,201.49 × 7,682.25
  4. Step 4: Simplify right side
    12,461.52x = 132,146,146.55
  5. Step 5: Solve for x
    x = 132,146,146.55/12,461.52
  6. Step 6: Final answer
    x = 10,604.34

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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.