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Finding the Fourth Proportional to 29,855, 41,197.20 and 16,426.82

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Solution

The fourth proportional to 29,855, 41,197.20 and 16,426.82 is: 22,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,855 : 41,197.20 = 16,426.82 : x
  2. Step 2: Convert to fraction form
    29,855/41,197.20 = 16,426.82/x
  3. Step 3: Cross multiply
    29,855x = 41,197.20 × 16,426.82
  4. Step 4: Simplify right side
    29,855x = 676,738,988.90
  5. Step 5: Solve for x
    x = 676,738,988.90/29,855
  6. Step 6: Final answer
    x = 22,667.53

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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.