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Finding the Fourth Proportional to 29,974.34, 41,364.05 and 16,546.02

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Solution

The fourth proportional to 29,974.34, 41,364.05 and 16,546.02 is: 22,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974.34 : 41,364.05 = 16,546.02 : x
  2. Step 2: Convert to fraction form
    29,974.34/41,364.05 = 16,546.02/x
  3. Step 3: Cross multiply
    29,974.34x = 41,364.05 × 16,546.02
  4. Step 4: Simplify right side
    29,974.34x = 684,410,315.85
  5. Step 5: Solve for x
    x = 684,410,315.85/29,974.34
  6. Step 6: Final answer
    x = 22,833.21

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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.