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Finding the Fourth Proportional to 15,876, 23,814 and 4,932

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Solution

The fourth proportional to 15,876, 23,814 and 4,932 is: 7,398

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876 : 23,814 = 4,932 : x
  2. Step 2: Convert to fraction form
    15,876/23,814 = 4,932/x
  3. Step 3: Cross multiply
    15,876x = 23,814 × 4,932
  4. Step 4: Simplify right side
    15,876x = 117,450,648
  5. Step 5: Solve for x
    x = 117,450,648/15,876
  6. Step 6: Final answer
    x = 7,398

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.