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Finding the Fourth Proportional to 25,997.54, 38,998.76 and 7,277.58

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Solution

The fourth proportional to 25,997.54, 38,998.76 and 7,277.58 is: 10,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997.54 : 38,998.76 = 7,277.58 : x
  2. Step 2: Convert to fraction form
    25,997.54/38,998.76 = 7,277.58/x
  3. Step 3: Cross multiply
    25,997.54x = 38,998.76 × 7,277.58
  4. Step 4: Simplify right side
    25,997.54x = 283,816,559.41
  5. Step 5: Solve for x
    x = 283,816,559.41/25,997.54
  6. Step 6: Final answer
    x = 10,917.06

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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.