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Finding the Fourth Proportional to 30,371.84, 41,912 and 16,943.68

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Solution

The fourth proportional to 30,371.84, 41,912 and 16,943.68 is: 23,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,371.84 : 41,912 = 16,943.68 : x
  2. Step 2: Convert to fraction form
    30,371.84/41,912 = 16,943.68/x
  3. Step 3: Cross multiply
    30,371.84x = 41,912 × 16,943.68
  4. Step 4: Simplify right side
    30,371.84x = 710,143,516.16
  5. Step 5: Solve for x
    x = 710,143,516.16/30,371.84
  6. Step 6: Final answer
    x = 23,381.64

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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.