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Finding the Fourth Proportional to 29,834.40, 41,169.36 and 16,405.44

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Solution

The fourth proportional to 29,834.40, 41,169.36 and 16,405.44 is: 22,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.40 : 41,169.36 = 16,405.44 : x
  2. Step 2: Convert to fraction form
    29,834.40/41,169.36 = 16,405.44/x
  3. Step 3: Cross multiply
    29,834.40x = 41,169.36 × 16,405.44
  4. Step 4: Simplify right side
    29,834.40x = 675,401,465.32
  5. Step 5: Solve for x
    x = 675,401,465.32/29,834.40
  6. Step 6: Final answer
    x = 22,638.35

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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.