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Finding the Fourth Proportional to 12,005.83, 17,996.43 and 4,608.30

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Solution

The fourth proportional to 12,005.83, 17,996.43 and 4,608.30 is: 6,907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.83 : 17,996.43 = 4,608.30 : x
  2. Step 2: Convert to fraction form
    12,005.83/17,996.43 = 4,608.30/x
  3. Step 3: Cross multiply
    12,005.83x = 17,996.43 × 4,608.30
  4. Step 4: Simplify right side
    12,005.83x = 82,932,858.39
  5. Step 5: Solve for x
    x = 82,932,858.39/12,005.83
  6. Step 6: Final answer
    x = 6,907.72

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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.