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Finding the Fourth Proportional to 27,989.40, 41,993.70 and 12,418.20

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Solution

The fourth proportional to 27,989.40, 41,993.70 and 12,418.20 is: 18,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.40 : 41,993.70 = 12,418.20 : x
  2. Step 2: Convert to fraction form
    27,989.40/41,993.70 = 12,418.20/x
  3. Step 3: Cross multiply
    27,989.40x = 41,993.70 × 12,418.20
  4. Step 4: Simplify right side
    27,989.40x = 521,486,165.34
  5. Step 5: Solve for x
    x = 521,486,165.34/27,989.40
  6. Step 6: Final answer
    x = 18,631.56

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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.