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Finding the Fourth Proportional to 29,974.75, 41,363.02 and 16,543.83

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Solution

The fourth proportional to 29,974.75, 41,363.02 and 16,543.83 is: 22,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974.75 : 41,363.02 = 16,543.83 : x
  2. Step 2: Convert to fraction form
    29,974.75/41,363.02 = 16,543.83/x
  3. Step 3: Cross multiply
    29,974.75x = 41,363.02 × 16,543.83
  4. Step 4: Simplify right side
    29,974.75x = 684,302,771.17
  5. Step 5: Solve for x
    x = 684,302,771.17/29,974.75
  6. Step 6: Final answer
    x = 22,829.31

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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.