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Finding the Fourth Proportional to 12,685.32, 17,511.84 and 8,443.44

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Solution

The fourth proportional to 12,685.32, 17,511.84 and 8,443.44 is: 11,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.32 : 17,511.84 = 8,443.44 : x
  2. Step 2: Convert to fraction form
    12,685.32/17,511.84 = 8,443.44/x
  3. Step 3: Cross multiply
    12,685.32x = 17,511.84 × 8,443.44
  4. Step 4: Simplify right side
    12,685.32x = 147,860,170.33
  5. Step 5: Solve for x
    x = 147,860,170.33/12,685.32
  6. Step 6: Final answer
    x = 11,656.01

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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.