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Finding the Fourth Proportional to 12,687.56, 19,033.16 and 3,923.16

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Solution

The fourth proportional to 12,687.56, 19,033.16 and 3,923.16 is: 5,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.56 : 19,033.16 = 3,923.16 : x
  2. Step 2: Convert to fraction form
    12,687.56/19,033.16 = 3,923.16/x
  3. Step 3: Cross multiply
    12,687.56x = 19,033.16 × 3,923.16
  4. Step 4: Simplify right side
    12,687.56x = 74,670,063.06
  5. Step 5: Solve for x
    x = 74,670,063.06/12,687.56
  6. Step 6: Final answer
    x = 5,885.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.