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Finding the Fourth Proportional to 25,782.11, 38,676.88 and 9,777.54

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Solution

The fourth proportional to 25,782.11, 38,676.88 and 9,777.54 is: 14,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.11 : 38,676.88 = 9,777.54 : x
  2. Step 2: Convert to fraction form
    25,782.11/38,676.88 = 9,777.54/x
  3. Step 3: Cross multiply
    25,782.11x = 38,676.88 × 9,777.54
  4. Step 4: Simplify right side
    25,782.11x = 378,164,716.83
  5. Step 5: Solve for x
    x = 378,164,716.83/25,782.11
  6. Step 6: Final answer
    x = 14,667.72

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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.