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Finding the Fourth Proportional to 23,524.90, 35,276.01 and 13,667

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Solution

The fourth proportional to 23,524.90, 35,276.01 and 13,667 is: 20,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.90 : 35,276.01 = 13,667 : x
  2. Step 2: Convert to fraction form
    23,524.90/35,276.01 = 13,667/x
  3. Step 3: Cross multiply
    23,524.90x = 35,276.01 × 13,667
  4. Step 4: Simplify right side
    23,524.90x = 482,117,228.67
  5. Step 5: Solve for x
    x = 482,117,228.67/23,524.90
  6. Step 6: Final answer
    x = 20,493.91

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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.