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Finding the Fourth Proportional to 23,882, 35,823 and 9,290

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Solution

The fourth proportional to 23,882, 35,823 and 9,290 is: 13,935

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882 : 35,823 = 9,290 : x
  2. Step 2: Convert to fraction form
    23,882/35,823 = 9,290/x
  3. Step 3: Cross multiply
    23,882x = 35,823 × 9,290
  4. Step 4: Simplify right side
    23,882x = 332,795,670
  5. Step 5: Solve for x
    x = 332,795,670/23,882
  6. Step 6: Final answer
    x = 13,935

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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.