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Finding the Fourth Proportional to 12,084.34, 16,676.40 and 6,706.61

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Solution

The fourth proportional to 12,084.34, 16,676.40 and 6,706.61 is: 9,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.34 : 16,676.40 = 6,706.61 : x
  2. Step 2: Convert to fraction form
    12,084.34/16,676.40 = 6,706.61/x
  3. Step 3: Cross multiply
    12,084.34x = 16,676.40 × 6,706.61
  4. Step 4: Simplify right side
    12,084.34x = 111,842,027.62
  5. Step 5: Solve for x
    x = 111,842,027.62/12,084.34
  6. Step 6: Final answer
    x = 9,255.12

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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.