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Finding the Fourth Proportional to 12,434.96, 17,160.26 and 6,845.96

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Solution

The fourth proportional to 12,434.96, 17,160.26 and 6,845.96 is: 9,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.96 : 17,160.26 = 6,845.96 : x
  2. Step 2: Convert to fraction form
    12,434.96/17,160.26 = 6,845.96/x
  3. Step 3: Cross multiply
    12,434.96x = 17,160.26 × 6,845.96
  4. Step 4: Simplify right side
    12,434.96x = 117,478,453.55
  5. Step 5: Solve for x
    x = 117,478,453.55/12,434.96
  6. Step 6: Final answer
    x = 9,447.43

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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.