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Finding the Fourth Proportional to 65,524.26, 98,286.40 and 16,276.26

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Solution

The fourth proportional to 65,524.26, 98,286.40 and 16,276.26 is: 24,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524.26 : 98,286.40 = 16,276.26 : x
  2. Step 2: Convert to fraction form
    65,524.26/98,286.40 = 16,276.26/x
  3. Step 3: Cross multiply
    65,524.26x = 98,286.40 × 16,276.26
  4. Step 4: Simplify right side
    65,524.26x = 1,599,735,000.86
  5. Step 5: Solve for x
    x = 1,599,735,000.86/65,524.26
  6. Step 6: Final answer
    x = 24,414.39

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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.