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Finding the Fourth Proportional to 12,906.16, 17,807.78 and 8,436.49

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Solution

The fourth proportional to 12,906.16, 17,807.78 and 8,436.49 is: 11,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.16 : 17,807.78 = 8,436.49 : x
  2. Step 2: Convert to fraction form
    12,906.16/17,807.78 = 8,436.49/x
  3. Step 3: Cross multiply
    12,906.16x = 17,807.78 × 8,436.49
  4. Step 4: Simplify right side
    12,906.16x = 150,235,134.46
  5. Step 5: Solve for x
    x = 150,235,134.46/12,906.16
  6. Step 6: Final answer
    x = 11,640.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.