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Finding the Fourth Proportional to 43,576.44, 65,376 and 12,414.12

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Solution

The fourth proportional to 43,576.44, 65,376 and 12,414.12 is: 18,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,576.44 : 65,376 = 12,414.12 : x
  2. Step 2: Convert to fraction form
    43,576.44/65,376 = 12,414.12/x
  3. Step 3: Cross multiply
    43,576.44x = 65,376 × 12,414.12
  4. Step 4: Simplify right side
    43,576.44x = 811,585,509.12
  5. Step 5: Solve for x
    x = 811,585,509.12/43,576.44
  6. Step 6: Final answer
    x = 18,624.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.