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Finding the Fourth Proportional to 12,427.94, 17,161.52 and 8,458.54

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Solution

The fourth proportional to 12,427.94, 17,161.52 and 8,458.54 is: 11,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.94 : 17,161.52 = 8,458.54 : x
  2. Step 2: Convert to fraction form
    12,427.94/17,161.52 = 8,458.54/x
  3. Step 3: Cross multiply
    12,427.94x = 17,161.52 × 8,458.54
  4. Step 4: Simplify right side
    12,427.94x = 145,161,318.18
  5. Step 5: Solve for x
    x = 145,161,318.18/12,427.94
  6. Step 6: Final answer
    x = 11,680.24

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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.