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Finding the Fourth Proportional to 23,425, 32,327.46 and 13,489

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Solution

The fourth proportional to 23,425, 32,327.46 and 13,489 is: 18,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425 : 32,327.46 = 13,489 : x
  2. Step 2: Convert to fraction form
    23,425/32,327.46 = 13,489/x
  3. Step 3: Cross multiply
    23,425x = 32,327.46 × 13,489
  4. Step 4: Simplify right side
    23,425x = 436,065,107.94
  5. Step 5: Solve for x
    x = 436,065,107.94/23,425
  6. Step 6: Final answer
    x = 18,615.37

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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.