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Finding the Fourth Proportional to 29,834.96, 41,173.14 and 16,405.52

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Solution

The fourth proportional to 29,834.96, 41,173.14 and 16,405.52 is: 22,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.96 : 41,173.14 = 16,405.52 : x
  2. Step 2: Convert to fraction form
    29,834.96/41,173.14 = 16,405.52/x
  3. Step 3: Cross multiply
    29,834.96x = 41,173.14 × 16,405.52
  4. Step 4: Simplify right side
    29,834.96x = 675,466,771.73
  5. Step 5: Solve for x
    x = 675,466,771.73/29,834.96
  6. Step 6: Final answer
    x = 22,640.11

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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.