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Finding the Fourth Proportional to 29,974.82, 41,363.12 and 16,543.19

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Solution

The fourth proportional to 29,974.82, 41,363.12 and 16,543.19 is: 22,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974.82 : 41,363.12 = 16,543.19 : x
  2. Step 2: Convert to fraction form
    29,974.82/41,363.12 = 16,543.19/x
  3. Step 3: Cross multiply
    29,974.82x = 41,363.12 × 16,543.19
  4. Step 4: Simplify right side
    29,974.82x = 684,278,097.92
  5. Step 5: Solve for x
    x = 684,278,097.92/29,974.82
  6. Step 6: Final answer
    x = 22,828.43

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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.