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Finding the Fourth Proportional to 12,014.92, 18,005.10 and 6,809.80

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Solution

The fourth proportional to 12,014.92, 18,005.10 and 6,809.80 is: 10,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.92 : 18,005.10 = 6,809.80 : x
  2. Step 2: Convert to fraction form
    12,014.92/18,005.10 = 6,809.80/x
  3. Step 3: Cross multiply
    12,014.92x = 18,005.10 × 6,809.80
  4. Step 4: Simplify right side
    12,014.92x = 122,611,129.98
  5. Step 5: Solve for x
    x = 122,611,129.98/12,014.92
  6. Step 6: Final answer
    x = 10,204.91

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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.