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Finding the Fourth Proportional to 15,876.72, 21,906.72 and 9,589.44

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Solution

The fourth proportional to 15,876.72, 21,906.72 and 9,589.44 is: 13,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.72 : 21,906.72 = 9,589.44 : x
  2. Step 2: Convert to fraction form
    15,876.72/21,906.72 = 9,589.44/x
  3. Step 3: Cross multiply
    15,876.72x = 21,906.72 × 9,589.44
  4. Step 4: Simplify right side
    15,876.72x = 210,073,177.04
  5. Step 5: Solve for x
    x = 210,073,177.04/15,876.72
  6. Step 6: Final answer
    x = 13,231.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.