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Finding the Fourth Proportional to 12,241.47, 16,893.18 and 7,205.66

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Solution

The fourth proportional to 12,241.47, 16,893.18 and 7,205.66 is: 9,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.47 : 16,893.18 = 7,205.66 : x
  2. Step 2: Convert to fraction form
    12,241.47/16,893.18 = 7,205.66/x
  3. Step 3: Cross multiply
    12,241.47x = 16,893.18 × 7,205.66
  4. Step 4: Simplify right side
    12,241.47x = 121,726,426.93
  5. Step 5: Solve for x
    x = 121,726,426.93/12,241.47
  6. Step 6: Final answer
    x = 9,943.78

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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.