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Finding the Fourth Proportional to 19,974.70, 27,568.43 and 12,017.66

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Solution

The fourth proportional to 19,974.70, 27,568.43 and 12,017.66 is: 16,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.70 : 27,568.43 = 12,017.66 : x
  2. Step 2: Convert to fraction form
    19,974.70/27,568.43 = 12,017.66/x
  3. Step 3: Cross multiply
    19,974.70x = 27,568.43 × 12,017.66
  4. Step 4: Simplify right side
    19,974.70x = 331,308,048.52
  5. Step 5: Solve for x
    x = 331,308,048.52/19,974.70
  6. Step 6: Final answer
    x = 16,586.39

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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.