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Finding the Fourth Proportional to 23,757.53, 32,783.72 and 13,147.43

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Solution

The fourth proportional to 23,757.53, 32,783.72 and 13,147.43 is: 18,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.53 : 32,783.72 = 13,147.43 : x
  2. Step 2: Convert to fraction form
    23,757.53/32,783.72 = 13,147.43/x
  3. Step 3: Cross multiply
    23,757.53x = 32,783.72 × 13,147.43
  4. Step 4: Simplify right side
    23,757.53x = 431,021,434.18
  5. Step 5: Solve for x
    x = 431,021,434.18/23,757.53
  6. Step 6: Final answer
    x = 18,142.52

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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.