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Finding the Fourth Proportional to 12,223.21, 18,334.82 and 6,378.45

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Solution

The fourth proportional to 12,223.21, 18,334.82 and 6,378.45 is: 9,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.21 : 18,334.82 = 6,378.45 : x
  2. Step 2: Convert to fraction form
    12,223.21/18,334.82 = 6,378.45/x
  3. Step 3: Cross multiply
    12,223.21x = 18,334.82 × 6,378.45
  4. Step 4: Simplify right side
    12,223.21x = 116,947,732.63
  5. Step 5: Solve for x
    x = 116,947,732.63/12,223.21
  6. Step 6: Final answer
    x = 9,567.68

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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.