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Finding the Fourth Proportional to 12,056.80, 18,085.20 and 6,786.40

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Solution

The fourth proportional to 12,056.80, 18,085.20 and 6,786.40 is: 10,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.80 : 18,085.20 = 6,786.40 : x
  2. Step 2: Convert to fraction form
    12,056.80/18,085.20 = 6,786.40/x
  3. Step 3: Cross multiply
    12,056.80x = 18,085.20 × 6,786.40
  4. Step 4: Simplify right side
    12,056.80x = 122,733,401.28
  5. Step 5: Solve for x
    x = 122,733,401.28/12,056.80
  6. Step 6: Final answer
    x = 10,179.60

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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.