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Finding the Fourth Proportional to 29,344.72, 40,494.63 and 17,401

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Solution

The fourth proportional to 29,344.72, 40,494.63 and 17,401 is: 24,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,344.72 : 40,494.63 = 17,401 : x
  2. Step 2: Convert to fraction form
    29,344.72/40,494.63 = 17,401/x
  3. Step 3: Cross multiply
    29,344.72x = 40,494.63 × 17,401
  4. Step 4: Simplify right side
    29,344.72x = 704,647,056.63
  5. Step 5: Solve for x
    x = 704,647,056.63/29,344.72
  6. Step 6: Final answer
    x = 24,012.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.