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Finding the Fourth Proportional to 25,775.75, 38,655.43 and 8,241.48

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Solution

The fourth proportional to 25,775.75, 38,655.43 and 8,241.48 is: 12,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.75 : 38,655.43 = 8,241.48 : x
  2. Step 2: Convert to fraction form
    25,775.75/38,655.43 = 8,241.48/x
  3. Step 3: Cross multiply
    25,775.75x = 38,655.43 × 8,241.48
  4. Step 4: Simplify right side
    25,775.75x = 318,577,932.63
  5. Step 5: Solve for x
    x = 318,577,932.63/25,775.75
  6. Step 6: Final answer
    x = 12,359.60

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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.