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Finding the Fourth Proportional to 25,850.69, 38,783.82 and 9,208.55

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Solution

The fourth proportional to 25,850.69, 38,783.82 and 9,208.55 is: 13,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.69 : 38,783.82 = 9,208.55 : x
  2. Step 2: Convert to fraction form
    25,850.69/38,783.82 = 9,208.55/x
  3. Step 3: Cross multiply
    25,850.69x = 38,783.82 × 9,208.55
  4. Step 4: Simplify right side
    25,850.69x = 357,142,745.66
  5. Step 5: Solve for x
    x = 357,142,745.66/25,850.69
  6. Step 6: Final answer
    x = 13,815.60

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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.