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Finding the Fourth Proportional to 18,522.88, 27,771.96 and 10,206.88

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Solution

The fourth proportional to 18,522.88, 27,771.96 and 10,206.88 is: 15,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522.88 : 27,771.96 = 10,206.88 : x
  2. Step 2: Convert to fraction form
    18,522.88/27,771.96 = 10,206.88/x
  3. Step 3: Cross multiply
    18,522.88x = 27,771.96 × 10,206.88
  4. Step 4: Simplify right side
    18,522.88x = 283,465,063.08
  5. Step 5: Solve for x
    x = 283,465,063.08/18,522.88
  6. Step 6: Final answer
    x = 15,303.51

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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.