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Finding the Fourth Proportional to 25,863.44, 38,792.22 and 7,146.12

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Solution

The fourth proportional to 25,863.44, 38,792.22 and 7,146.12 is: 10,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,863.44 : 38,792.22 = 7,146.12 : x
  2. Step 2: Convert to fraction form
    25,863.44/38,792.22 = 7,146.12/x
  3. Step 3: Cross multiply
    25,863.44x = 38,792.22 × 7,146.12
  4. Step 4: Simplify right side
    25,863.44x = 277,213,977.86
  5. Step 5: Solve for x
    x = 277,213,977.86/25,863.44
  6. Step 6: Final answer
    x = 10,718.37

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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.