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Finding the Fourth Proportional to 25,850.94, 38,771.37 and 7,126.14

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Solution

The fourth proportional to 25,850.94, 38,771.37 and 7,126.14 is: 10,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.94 : 38,771.37 = 7,126.14 : x
  2. Step 2: Convert to fraction form
    25,850.94/38,771.37 = 7,126.14/x
  3. Step 3: Cross multiply
    25,850.94x = 38,771.37 × 7,126.14
  4. Step 4: Simplify right side
    25,850.94x = 276,290,210.61
  5. Step 5: Solve for x
    x = 276,290,210.61/25,850.94
  6. Step 6: Final answer
    x = 10,687.82

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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.