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Finding the Fourth Proportional to 12,846.97, 19,261.11 and 8,676.64

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Solution

The fourth proportional to 12,846.97, 19,261.11 and 8,676.64 is: 13,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.97 : 19,261.11 = 8,676.64 : x
  2. Step 2: Convert to fraction form
    12,846.97/19,261.11 = 8,676.64/x
  3. Step 3: Cross multiply
    12,846.97x = 19,261.11 × 8,676.64
  4. Step 4: Simplify right side
    12,846.97x = 167,121,717.47
  5. Step 5: Solve for x
    x = 167,121,717.47/12,846.97
  6. Step 6: Final answer
    x = 13,008.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.