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Finding the Fourth Proportional to 18,223, 27,334.02 and 5,074.84

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Solution

The fourth proportional to 18,223, 27,334.02 and 5,074.84 is: 7,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223 : 27,334.02 = 5,074.84 : x
  2. Step 2: Convert to fraction form
    18,223/27,334.02 = 5,074.84/x
  3. Step 3: Cross multiply
    18,223x = 27,334.02 × 5,074.84
  4. Step 4: Simplify right side
    18,223x = 138,715,778.06
  5. Step 5: Solve for x
    x = 138,715,778.06/18,223
  6. Step 6: Final answer
    x = 7,612.13

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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.