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Finding the Fourth Proportional to 29,770.96, 41,084.39 and 16,343.44

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Solution

The fourth proportional to 29,770.96, 41,084.39 and 16,343.44 is: 22,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770.96 : 41,084.39 = 16,343.44 : x
  2. Step 2: Convert to fraction form
    29,770.96/41,084.39 = 16,343.44/x
  3. Step 3: Cross multiply
    29,770.96x = 41,084.39 × 16,343.44
  4. Step 4: Simplify right side
    29,770.96x = 671,460,155.08
  5. Step 5: Solve for x
    x = 671,460,155.08/29,770.96
  6. Step 6: Final answer
    x = 22,554.20

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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.