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Finding the Fourth Proportional to 25,277.96, 37,921.78 and 7,747.94

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Solution

The fourth proportional to 25,277.96, 37,921.78 and 7,747.94 is: 11,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,277.96 : 37,921.78 = 7,747.94 : x
  2. Step 2: Convert to fraction form
    25,277.96/37,921.78 = 7,747.94/x
  3. Step 3: Cross multiply
    25,277.96x = 37,921.78 × 7,747.94
  4. Step 4: Simplify right side
    25,277.96x = 293,815,676.13
  5. Step 5: Solve for x
    x = 293,815,676.13/25,277.96
  6. Step 6: Final answer
    x = 11,623.39

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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.