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Finding the Fourth Proportional to 23,767.99, 32,801.37 and 13,157.62

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Solution

The fourth proportional to 23,767.99, 32,801.37 and 13,157.62 is: 18,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.99 : 32,801.37 = 13,157.62 : x
  2. Step 2: Convert to fraction form
    23,767.99/32,801.37 = 13,157.62/x
  3. Step 3: Cross multiply
    23,767.99x = 32,801.37 × 13,157.62
  4. Step 4: Simplify right side
    23,767.99x = 431,587,961.94
  5. Step 5: Solve for x
    x = 431,587,961.94/23,767.99
  6. Step 6: Final answer
    x = 18,158.37

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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.