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Finding the Fourth Proportional to 25,896.63, 38,845.77 and 7,176.84

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Solution

The fourth proportional to 25,896.63, 38,845.77 and 7,176.84 is: 10,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.63 : 38,845.77 = 7,176.84 : x
  2. Step 2: Convert to fraction form
    25,896.63/38,845.77 = 7,176.84/x
  3. Step 3: Cross multiply
    25,896.63x = 38,845.77 × 7,176.84
  4. Step 4: Simplify right side
    25,896.63x = 278,789,875.97
  5. Step 5: Solve for x
    x = 278,789,875.97/25,896.63
  6. Step 6: Final answer
    x = 10,765.49

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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.