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Finding the Fourth Proportional to 23,826, 32,881.98 and 13,217.70

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Solution

The fourth proportional to 23,826, 32,881.98 and 13,217.70 is: 18,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826 : 32,881.98 = 13,217.70 : x
  2. Step 2: Convert to fraction form
    23,826/32,881.98 = 13,217.70/x
  3. Step 3: Cross multiply
    23,826x = 32,881.98 × 13,217.70
  4. Step 4: Simplify right side
    23,826x = 434,624,147.05
  5. Step 5: Solve for x
    x = 434,624,147.05/23,826
  6. Step 6: Final answer
    x = 18,241.59

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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.