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Finding the Fourth Proportional to 27,412.84, 41,086.16 and 13,351.80

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Solution

The fourth proportional to 27,412.84, 41,086.16 and 13,351.80 is: 20,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.84 : 41,086.16 = 13,351.80 : x
  2. Step 2: Convert to fraction form
    27,412.84/41,086.16 = 13,351.80/x
  3. Step 3: Cross multiply
    27,412.84x = 41,086.16 × 13,351.80
  4. Step 4: Simplify right side
    27,412.84x = 548,574,191.09
  5. Step 5: Solve for x
    x = 548,574,191.09/27,412.84
  6. Step 6: Final answer
    x = 20,011.58

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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.