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Finding the Fourth Proportional to 25,751.81, 38,647.48 and 11,524.69

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Solution

The fourth proportional to 25,751.81, 38,647.48 and 11,524.69 is: 17,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.81 : 38,647.48 = 11,524.69 : x
  2. Step 2: Convert to fraction form
    25,751.81/38,647.48 = 11,524.69/x
  3. Step 3: Cross multiply
    25,751.81x = 38,647.48 × 11,524.69
  4. Step 4: Simplify right side
    25,751.81x = 445,400,321.74
  5. Step 5: Solve for x
    x = 445,400,321.74/25,751.81
  6. Step 6: Final answer
    x = 17,295.88

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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.