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Finding the Fourth Proportional to 25,967.43, 38,960.19 and 8,200.83

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Solution

The fourth proportional to 25,967.43, 38,960.19 and 8,200.83 is: 12,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,967.43 : 38,960.19 = 8,200.83 : x
  2. Step 2: Convert to fraction form
    25,967.43/38,960.19 = 8,200.83/x
  3. Step 3: Cross multiply
    25,967.43x = 38,960.19 × 8,200.83
  4. Step 4: Simplify right side
    25,967.43x = 319,505,894.96
  5. Step 5: Solve for x
    x = 319,505,894.96/25,967.43
  6. Step 6: Final answer
    x = 12,304.10

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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.