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Finding the Fourth Proportional to 25,863.68, 38,794.75 and 7,144.84

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Solution

The fourth proportional to 25,863.68, 38,794.75 and 7,144.84 is: 10,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,863.68 : 38,794.75 = 7,144.84 : x
  2. Step 2: Convert to fraction form
    25,863.68/38,794.75 = 7,144.84/x
  3. Step 3: Cross multiply
    25,863.68x = 38,794.75 × 7,144.84
  4. Step 4: Simplify right side
    25,863.68x = 277,182,051.89
  5. Step 5: Solve for x
    x = 277,182,051.89/25,863.68
  6. Step 6: Final answer
    x = 10,717.04

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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.