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Finding the Fourth Proportional to 12,005.19, 17,983.65 and 5,983.09

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Solution

The fourth proportional to 12,005.19, 17,983.65 and 5,983.09 is: 8,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.19 : 17,983.65 = 5,983.09 : x
  2. Step 2: Convert to fraction form
    12,005.19/17,983.65 = 5,983.09/x
  3. Step 3: Cross multiply
    12,005.19x = 17,983.65 × 5,983.09
  4. Step 4: Simplify right side
    12,005.19x = 107,597,774.05
  5. Step 5: Solve for x
    x = 107,597,774.05/12,005.19
  6. Step 6: Final answer
    x = 8,962.61

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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.