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Finding the Fourth Proportional to 21,244, 31,879.68 and 8,932

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Solution

The fourth proportional to 21,244, 31,879.68 and 8,932 is: 13,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,244 : 31,879.68 = 8,932 : x
  2. Step 2: Convert to fraction form
    21,244/31,879.68 = 8,932/x
  3. Step 3: Cross multiply
    21,244x = 31,879.68 × 8,932
  4. Step 4: Simplify right side
    21,244x = 284,749,301.76
  5. Step 5: Solve for x
    x = 284,749,301.76/21,244
  6. Step 6: Final answer
    x = 13,403.75

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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.