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Finding the Fourth Proportional to 27,027, 40,530.17 and 12,983.02

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Solution

The fourth proportional to 27,027, 40,530.17 and 12,983.02 is: 19,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027 : 40,530.17 = 12,983.02 : x
  2. Step 2: Convert to fraction form
    27,027/40,530.17 = 12,983.02/x
  3. Step 3: Cross multiply
    27,027x = 40,530.17 × 12,983.02
  4. Step 4: Simplify right side
    27,027x = 526,203,938.85
  5. Step 5: Solve for x
    x = 526,203,938.85/27,027
  6. Step 6: Final answer
    x = 19,469.57

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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.