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Finding the Fourth Proportional to 30,233.84, 41,722.28 and 16,805.12

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Solution

The fourth proportional to 30,233.84, 41,722.28 and 16,805.12 is: 23,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.84 : 41,722.28 = 16,805.12 : x
  2. Step 2: Convert to fraction form
    30,233.84/41,722.28 = 16,805.12/x
  3. Step 3: Cross multiply
    30,233.84x = 41,722.28 × 16,805.12
  4. Step 4: Simplify right side
    30,233.84x = 701,147,922.07
  5. Step 5: Solve for x
    x = 701,147,922.07/30,233.84
  6. Step 6: Final answer
    x = 23,190.83

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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.