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Finding the Fourth Proportional to 12,056.30, 18,084.21 and 6,520.49

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Solution

The fourth proportional to 12,056.30, 18,084.21 and 6,520.49 is: 9,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.30 : 18,084.21 = 6,520.49 : x
  2. Step 2: Convert to fraction form
    12,056.30/18,084.21 = 6,520.49/x
  3. Step 3: Cross multiply
    12,056.30x = 18,084.21 × 6,520.49
  4. Step 4: Simplify right side
    12,056.30x = 117,917,910.46
  5. Step 5: Solve for x
    x = 117,917,910.46/12,056.30
  6. Step 6: Final answer
    x = 9,780.61

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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.