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Finding the Fourth Proportional to 25,951.81, 38,927.74 and 7,231.90

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Solution

The fourth proportional to 25,951.81, 38,927.74 and 7,231.90 is: 10,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,951.81 : 38,927.74 = 7,231.90 : x
  2. Step 2: Convert to fraction form
    25,951.81/38,927.74 = 7,231.90/x
  3. Step 3: Cross multiply
    25,951.81x = 38,927.74 × 7,231.90
  4. Step 4: Simplify right side
    25,951.81x = 281,521,389.43
  5. Step 5: Solve for x
    x = 281,521,389.43/25,951.81
  6. Step 6: Final answer
    x = 10,847.85

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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.