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Finding the Fourth Proportional to 29,576.10, 40,814.37 and 16,146.84

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Solution

The fourth proportional to 29,576.10, 40,814.37 and 16,146.84 is: 22,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576.10 : 40,814.37 = 16,146.84 : x
  2. Step 2: Convert to fraction form
    29,576.10/40,814.37 = 16,146.84/x
  3. Step 3: Cross multiply
    29,576.10x = 40,814.37 × 16,146.84
  4. Step 4: Simplify right side
    29,576.10x = 659,023,102.09
  5. Step 5: Solve for x
    x = 659,023,102.09/29,576.10
  6. Step 6: Final answer
    x = 22,282.29

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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.