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Finding the Fourth Proportional to 12,676.32, 17,498.52 and 8,656.44

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Solution

The fourth proportional to 12,676.32, 17,498.52 and 8,656.44 is: 11,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.32 : 17,498.52 = 8,656.44 : x
  2. Step 2: Convert to fraction form
    12,676.32/17,498.52 = 8,656.44/x
  3. Step 3: Cross multiply
    12,676.32x = 17,498.52 × 8,656.44
  4. Step 4: Simplify right side
    12,676.32x = 151,474,888.47
  5. Step 5: Solve for x
    x = 151,474,888.47/12,676.32
  6. Step 6: Final answer
    x = 11,949.44

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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.