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Finding the Fourth Proportional to 19,704.38, 27,189.60 and 12,051.50

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Solution

The fourth proportional to 19,704.38, 27,189.60 and 12,051.50 is: 16,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.38 : 27,189.60 = 12,051.50 : x
  2. Step 2: Convert to fraction form
    19,704.38/27,189.60 = 12,051.50/x
  3. Step 3: Cross multiply
    19,704.38x = 27,189.60 × 12,051.50
  4. Step 4: Simplify right side
    19,704.38x = 327,675,464.40
  5. Step 5: Solve for x
    x = 327,675,464.40/19,704.38
  6. Step 6: Final answer
    x = 16,629.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.