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Finding the Fourth Proportional to 12,425.45, 18,638.32 and 6,889.61

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Solution

The fourth proportional to 12,425.45, 18,638.32 and 6,889.61 is: 10,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.45 : 18,638.32 = 6,889.61 : x
  2. Step 2: Convert to fraction form
    12,425.45/18,638.32 = 6,889.61/x
  3. Step 3: Cross multiply
    12,425.45x = 18,638.32 × 6,889.61
  4. Step 4: Simplify right side
    12,425.45x = 128,410,662.66
  5. Step 5: Solve for x
    x = 128,410,662.66/12,425.45
  6. Step 6: Final answer
    x = 10,334.49

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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.