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Finding the Fourth Proportional to 12,181.34, 16,810.92 and 8,597.44

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Solution

The fourth proportional to 12,181.34, 16,810.92 and 8,597.44 is: 11,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.34 : 16,810.92 = 8,597.44 : x
  2. Step 2: Convert to fraction form
    12,181.34/16,810.92 = 8,597.44/x
  3. Step 3: Cross multiply
    12,181.34x = 16,810.92 × 8,597.44
  4. Step 4: Simplify right side
    12,181.34x = 144,530,960.58
  5. Step 5: Solve for x
    x = 144,530,960.58/12,181.34
  6. Step 6: Final answer
    x = 11,864.95

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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.