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Finding the Fourth Proportional to 29,412.68, 40,576 and 17,469.24

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Solution

The fourth proportional to 29,412.68, 40,576 and 17,469.24 is: 24,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,412.68 : 40,576 = 17,469.24 : x
  2. Step 2: Convert to fraction form
    29,412.68/40,576 = 17,469.24/x
  3. Step 3: Cross multiply
    29,412.68x = 40,576 × 17,469.24
  4. Step 4: Simplify right side
    29,412.68x = 708,831,882.24
  5. Step 5: Solve for x
    x = 708,831,882.24/29,412.68
  6. Step 6: Final answer
    x = 24,099.53

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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.