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Finding the Fourth Proportional to 25,964.43, 38,955.69 and 8,197.83

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Solution

The fourth proportional to 25,964.43, 38,955.69 and 8,197.83 is: 12,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,964.43 : 38,955.69 = 8,197.83 : x
  2. Step 2: Convert to fraction form
    25,964.43/38,955.69 = 8,197.83/x
  3. Step 3: Cross multiply
    25,964.43x = 38,955.69 × 8,197.83
  4. Step 4: Simplify right side
    25,964.43x = 319,352,124.15
  5. Step 5: Solve for x
    x = 319,352,124.15/25,964.43
  6. Step 6: Final answer
    x = 12,299.60

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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.