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Finding the Fourth Proportional to 21,738.56, 32,601.68 and 8,408.48

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Solution

The fourth proportional to 21,738.56, 32,601.68 and 8,408.48 is: 12,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.56 : 32,601.68 = 8,408.48 : x
  2. Step 2: Convert to fraction form
    21,738.56/32,601.68 = 8,408.48/x
  3. Step 3: Cross multiply
    21,738.56x = 32,601.68 × 8,408.48
  4. Step 4: Simplify right side
    21,738.56x = 274,130,574.25
  5. Step 5: Solve for x
    x = 274,130,574.25/21,738.56
  6. Step 6: Final answer
    x = 12,610.34

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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.