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Finding the Fourth Proportional to 12,089.74, 16,685.04 and 8,119.12

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Solution

The fourth proportional to 12,089.74, 16,685.04 and 8,119.12 is: 11,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.74 : 16,685.04 = 8,119.12 : x
  2. Step 2: Convert to fraction form
    12,089.74/16,685.04 = 8,119.12/x
  3. Step 3: Cross multiply
    12,089.74x = 16,685.04 × 8,119.12
  4. Step 4: Simplify right side
    12,089.74x = 135,467,841.96
  5. Step 5: Solve for x
    x = 135,467,841.96/12,089.74
  6. Step 6: Final answer
    x = 11,205.19

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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.