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Finding the Fourth Proportional to 18,496.98, 27,722.12 and 11,830.95

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Solution

The fourth proportional to 18,496.98, 27,722.12 and 11,830.95 is: 17,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.98 : 27,722.12 = 11,830.95 : x
  2. Step 2: Convert to fraction form
    18,496.98/27,722.12 = 11,830.95/x
  3. Step 3: Cross multiply
    18,496.98x = 27,722.12 × 11,830.95
  4. Step 4: Simplify right side
    18,496.98x = 327,978,956.46
  5. Step 5: Solve for x
    x = 327,978,956.46/18,496.98
  6. Step 6: Final answer
    x = 17,731.49

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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.