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Finding the Fourth Proportional to 15,524.64, 23,265.96 and 8,494.02

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Solution

The fourth proportional to 15,524.64, 23,265.96 and 8,494.02 is: 12,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.64 : 23,265.96 = 8,494.02 : x
  2. Step 2: Convert to fraction form
    15,524.64/23,265.96 = 8,494.02/x
  3. Step 3: Cross multiply
    15,524.64x = 23,265.96 × 8,494.02
  4. Step 4: Simplify right side
    15,524.64x = 197,621,529.56
  5. Step 5: Solve for x
    x = 197,621,529.56/15,524.64
  6. Step 6: Final answer
    x = 12,729.54

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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.