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Finding the Fourth Proportional to 23,842.82, 35,745.50 and 15,059.25

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Solution

The fourth proportional to 23,842.82, 35,745.50 and 15,059.25 is: 22,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.82 : 35,745.50 = 15,059.25 : x
  2. Step 2: Convert to fraction form
    23,842.82/35,745.50 = 15,059.25/x
  3. Step 3: Cross multiply
    23,842.82x = 35,745.50 × 15,059.25
  4. Step 4: Simplify right side
    23,842.82x = 538,300,458.52
  5. Step 5: Solve for x
    x = 538,300,458.52/23,842.82
  6. Step 6: Final answer
    x = 22,577.04

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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.