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Finding the Fourth Proportional to 20,951.46, 31,433.94 and 7,805.70

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Solution

The fourth proportional to 20,951.46, 31,433.94 and 7,805.70 is: 11,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951.46 : 31,433.94 = 7,805.70 : x
  2. Step 2: Convert to fraction form
    20,951.46/31,433.94 = 7,805.70/x
  3. Step 3: Cross multiply
    20,951.46x = 31,433.94 × 7,805.70
  4. Step 4: Simplify right side
    20,951.46x = 245,363,905.46
  5. Step 5: Solve for x
    x = 245,363,905.46/20,951.46
  6. Step 6: Final answer
    x = 11,711.06

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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.