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Finding the Fourth Proportional to 23,771.61, 35,656.83 and 13,791.24

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Solution

The fourth proportional to 23,771.61, 35,656.83 and 13,791.24 is: 20,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.61 : 35,656.83 = 13,791.24 : x
  2. Step 2: Convert to fraction form
    23,771.61/35,656.83 = 13,791.24/x
  3. Step 3: Cross multiply
    23,771.61x = 35,656.83 × 13,791.24
  4. Step 4: Simplify right side
    23,771.61x = 491,751,900.17
  5. Step 5: Solve for x
    x = 491,751,900.17/23,771.61
  6. Step 6: Final answer
    x = 20,686.52

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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.