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Finding the Fourth Proportional to 18,927, 28,381.85 and 7,072.07

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Solution

The fourth proportional to 18,927, 28,381.85 and 7,072.07 is: 10,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,927 : 28,381.85 = 7,072.07 : x
  2. Step 2: Convert to fraction form
    18,927/28,381.85 = 7,072.07/x
  3. Step 3: Cross multiply
    18,927x = 28,381.85 × 7,072.07
  4. Step 4: Simplify right side
    18,927x = 200,718,465.52
  5. Step 5: Solve for x
    x = 200,718,465.52/18,927
  6. Step 6: Final answer
    x = 10,604.87

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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.