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Finding the Fourth Proportional to 26,274.80, 39,412.20 and 16,433.30

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Solution

The fourth proportional to 26,274.80, 39,412.20 and 16,433.30 is: 24,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,274.80 : 39,412.20 = 16,433.30 : x
  2. Step 2: Convert to fraction form
    26,274.80/39,412.20 = 16,433.30/x
  3. Step 3: Cross multiply
    26,274.80x = 39,412.20 × 16,433.30
  4. Step 4: Simplify right side
    26,274.80x = 647,672,506.26
  5. Step 5: Solve for x
    x = 647,672,506.26/26,274.80
  6. Step 6: Final answer
    x = 24,649.95

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Why These Related Problems?

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