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Finding the Fourth Proportional to 25,880.57, 38,838.81 and 11,842.33

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Solution

The fourth proportional to 25,880.57, 38,838.81 and 11,842.33 is: 17,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880.57 : 38,838.81 = 11,842.33 : x
  2. Step 2: Convert to fraction form
    25,880.57/38,838.81 = 11,842.33/x
  3. Step 3: Cross multiply
    25,880.57x = 38,838.81 × 11,842.33
  4. Step 4: Simplify right side
    25,880.57x = 459,942,004.83
  5. Step 5: Solve for x
    x = 459,942,004.83/25,880.57
  6. Step 6: Final answer
    x = 17,771.71

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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.