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Finding the Fourth Proportional to 25,917.97, 38,880.48 and 8,381.89

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Solution

The fourth proportional to 25,917.97, 38,880.48 and 8,381.89 is: 12,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,917.97 : 38,880.48 = 8,381.89 : x
  2. Step 2: Convert to fraction form
    25,917.97/38,880.48 = 8,381.89/x
  3. Step 3: Cross multiply
    25,917.97x = 38,880.48 × 8,381.89
  4. Step 4: Simplify right side
    25,917.97x = 325,891,906.51
  5. Step 5: Solve for x
    x = 325,891,906.51/25,917.97
  6. Step 6: Final answer
    x = 12,573.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.