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Finding the Fourth Proportional to 12,906.10, 19,334.85 and 6,644.80

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Solution

The fourth proportional to 12,906.10, 19,334.85 and 6,644.80 is: 9,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.10 : 19,334.85 = 6,644.80 : x
  2. Step 2: Convert to fraction form
    12,906.10/19,334.85 = 6,644.80/x
  3. Step 3: Cross multiply
    12,906.10x = 19,334.85 × 6,644.80
  4. Step 4: Simplify right side
    12,906.10x = 128,476,211.28
  5. Step 5: Solve for x
    x = 128,476,211.28/12,906.10
  6. Step 6: Final answer
    x = 9,954.69

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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.