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Finding the Fourth Proportional to 23,850.80, 32,912.28 and 13,774.64

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Solution

The fourth proportional to 23,850.80, 32,912.28 and 13,774.64 is: 19,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850.80 : 32,912.28 = 13,774.64 : x
  2. Step 2: Convert to fraction form
    23,850.80/32,912.28 = 13,774.64/x
  3. Step 3: Cross multiply
    23,850.80x = 32,912.28 × 13,774.64
  4. Step 4: Simplify right side
    23,850.80x = 453,354,808.58
  5. Step 5: Solve for x
    x = 453,354,808.58/23,850.80
  6. Step 6: Final answer
    x = 19,007.95

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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.