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Finding the Fourth Proportional to 29,834.49, 41,170.93 and 16,222.24

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Solution

The fourth proportional to 29,834.49, 41,170.93 and 16,222.24 is: 22,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.49 : 41,170.93 = 16,222.24 : x
  2. Step 2: Convert to fraction form
    29,834.49/41,170.93 = 16,222.24/x
  3. Step 3: Cross multiply
    29,834.49x = 41,170.93 × 16,222.24
  4. Step 4: Simplify right side
    29,834.49x = 667,884,564.00
  5. Step 5: Solve for x
    x = 667,884,564.00/29,834.49
  6. Step 6: Final answer
    x = 22,386.32

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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.