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Finding the Fourth Proportional to 23,885.64, 32,959.89 and 13,274.64

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Solution

The fourth proportional to 23,885.64, 32,959.89 and 13,274.64 is: 18,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.64 : 32,959.89 = 13,274.64 : x
  2. Step 2: Convert to fraction form
    23,885.64/32,959.89 = 13,274.64/x
  3. Step 3: Cross multiply
    23,885.64x = 32,959.89 × 13,274.64
  4. Step 4: Simplify right side
    23,885.64x = 437,530,674.19
  5. Step 5: Solve for x
    x = 437,530,674.19/23,885.64
  6. Step 6: Final answer
    x = 18,317.73

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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.