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Finding the Fourth Proportional to 29,835.24, 41,172.90 and 16,406.16

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Solution

The fourth proportional to 29,835.24, 41,172.90 and 16,406.16 is: 22,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.24 : 41,172.90 = 16,406.16 : x
  2. Step 2: Convert to fraction form
    29,835.24/41,172.90 = 16,406.16/x
  3. Step 3: Cross multiply
    29,835.24x = 41,172.90 × 16,406.16
  4. Step 4: Simplify right side
    29,835.24x = 675,489,185.06
  5. Step 5: Solve for x
    x = 675,489,185.06/29,835.24
  6. Step 6: Final answer
    x = 22,640.65

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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.