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Finding the Fourth Proportional to 12,007.12, 17,996.09 and 8,498.15

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Solution

The fourth proportional to 12,007.12, 17,996.09 and 8,498.15 is: 12,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.12 : 17,996.09 = 8,498.15 : x
  2. Step 2: Convert to fraction form
    12,007.12/17,996.09 = 8,498.15/x
  3. Step 3: Cross multiply
    12,007.12x = 17,996.09 × 8,498.15
  4. Step 4: Simplify right side
    12,007.12x = 152,933,339.76
  5. Step 5: Solve for x
    x = 152,933,339.76/12,007.12
  6. Step 6: Final answer
    x = 12,736.89

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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.