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Finding the Fourth Proportional to 10,807.09, 16,194.20 and 8,020.69

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Solution

The fourth proportional to 10,807.09, 16,194.20 and 8,020.69 is: 12,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.09 : 16,194.20 = 8,020.69 : x
  2. Step 2: Convert to fraction form
    10,807.09/16,194.20 = 8,020.69/x
  3. Step 3: Cross multiply
    10,807.09x = 16,194.20 × 8,020.69
  4. Step 4: Simplify right side
    10,807.09x = 129,888,577.41
  5. Step 5: Solve for x
    x = 129,888,577.41/10,807.09
  6. Step 6: Final answer
    x = 12,018.83

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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.