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Finding the Fourth Proportional to 15,883.56, 23,825.34 and 4,196.34

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Solution

The fourth proportional to 15,883.56, 23,825.34 and 4,196.34 is: 6,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.56 : 23,825.34 = 4,196.34 : x
  2. Step 2: Convert to fraction form
    15,883.56/23,825.34 = 4,196.34/x
  3. Step 3: Cross multiply
    15,883.56x = 23,825.34 × 4,196.34
  4. Step 4: Simplify right side
    15,883.56x = 99,979,227.26
  5. Step 5: Solve for x
    x = 99,979,227.26/15,883.56
  6. Step 6: Final answer
    x = 6,294.51

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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.