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Finding the Fourth Proportional to 23,884.94, 32,959.74 and 13,274.24

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Solution

The fourth proportional to 23,884.94, 32,959.74 and 13,274.24 is: 18,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.94 : 32,959.74 = 13,274.24 : x
  2. Step 2: Convert to fraction form
    23,884.94/32,959.74 = 13,274.24/x
  3. Step 3: Cross multiply
    23,884.94x = 32,959.74 × 13,274.24
  4. Step 4: Simplify right side
    23,884.94x = 437,515,499.10
  5. Step 5: Solve for x
    x = 437,515,499.10/23,884.94
  6. Step 6: Final answer
    x = 18,317.63

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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.