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Finding the Fourth Proportional to 12,446.73, 17,176.35 and 7,142.39

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Solution

The fourth proportional to 12,446.73, 17,176.35 and 7,142.39 is: 9,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.73 : 17,176.35 = 7,142.39 : x
  2. Step 2: Convert to fraction form
    12,446.73/17,176.35 = 7,142.39/x
  3. Step 3: Cross multiply
    12,446.73x = 17,176.35 × 7,142.39
  4. Step 4: Simplify right side
    12,446.73x = 122,680,104.59
  5. Step 5: Solve for x
    x = 122,680,104.59/12,446.73
  6. Step 6: Final answer
    x = 9,856.41

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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.