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Finding the Fourth Proportional to 12,493.73, 17,241.98 and 7,116.27

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Solution

The fourth proportional to 12,493.73, 17,241.98 and 7,116.27 is: 9,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.73 : 17,241.98 = 7,116.27 : x
  2. Step 2: Convert to fraction form
    12,493.73/17,241.98 = 7,116.27/x
  3. Step 3: Cross multiply
    12,493.73x = 17,241.98 × 7,116.27
  4. Step 4: Simplify right side
    12,493.73x = 122,698,549.43
  5. Step 5: Solve for x
    x = 122,698,549.43/12,493.73
  6. Step 6: Final answer
    x = 9,820.81

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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.