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Finding the Fourth Proportional to 12,461.51, 17,201.48 and 7,682.24

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Solution

The fourth proportional to 12,461.51, 17,201.48 and 7,682.24 is: 10,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.51 : 17,201.48 = 7,682.24 : x
  2. Step 2: Convert to fraction form
    12,461.51/17,201.48 = 7,682.24/x
  3. Step 3: Cross multiply
    12,461.51x = 17,201.48 × 7,682.24
  4. Step 4: Simplify right side
    12,461.51x = 132,145,773.30
  5. Step 5: Solve for x
    x = 132,145,773.30/12,461.51
  6. Step 6: Final answer
    x = 10,604.32

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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.