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Finding the Fourth Proportional to 27,408.70, 41,114.40 and 14,286.70

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Solution

The fourth proportional to 27,408.70, 41,114.40 and 14,286.70 is: 21,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.70 : 41,114.40 = 14,286.70 : x
  2. Step 2: Convert to fraction form
    27,408.70/41,114.40 = 14,286.70/x
  3. Step 3: Cross multiply
    27,408.70x = 41,114.40 × 14,286.70
  4. Step 4: Simplify right side
    27,408.70x = 587,389,098.48
  5. Step 5: Solve for x
    x = 587,389,098.48/27,408.70
  6. Step 6: Final answer
    x = 21,430.75

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1.5x scale

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.