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Finding the Fourth Proportional to 20,185.20, 30,277.80 and 17,722.80

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Solution

The fourth proportional to 20,185.20, 30,277.80 and 17,722.80 is: 26,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.20 : 30,277.80 = 17,722.80 : x
  2. Step 2: Convert to fraction form
    20,185.20/30,277.80 = 17,722.80/x
  3. Step 3: Cross multiply
    20,185.20x = 30,277.80 × 17,722.80
  4. Step 4: Simplify right side
    20,185.20x = 536,607,393.84
  5. Step 5: Solve for x
    x = 536,607,393.84/20,185.20
  6. Step 6: Final answer
    x = 26,584.20

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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.