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Finding the Fourth Proportional to 25,850.70, 38,776.14 and 10,268.28

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Solution

The fourth proportional to 25,850.70, 38,776.14 and 10,268.28 is: 15,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.70 : 38,776.14 = 10,268.28 : x
  2. Step 2: Convert to fraction form
    25,850.70/38,776.14 = 10,268.28/x
  3. Step 3: Cross multiply
    25,850.70x = 38,776.14 × 10,268.28
  4. Step 4: Simplify right side
    25,850.70x = 398,164,262.84
  5. Step 5: Solve for x
    x = 398,164,262.84/25,850.70
  6. Step 6: Final answer
    x = 15,402.46

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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.