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Finding the Fourth Proportional to 21,234.45, 31,850.04 and 6,443.44

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Solution

The fourth proportional to 21,234.45, 31,850.04 and 6,443.44 is: 9,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.45 : 31,850.04 = 6,443.44 : x
  2. Step 2: Convert to fraction form
    21,234.45/31,850.04 = 6,443.44/x
  3. Step 3: Cross multiply
    21,234.45x = 31,850.04 × 6,443.44
  4. Step 4: Simplify right side
    21,234.45x = 205,223,821.74
  5. Step 5: Solve for x
    x = 205,223,821.74/21,234.45
  6. Step 6: Final answer
    x = 9,664.67

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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.