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Finding the Fourth Proportional to 29,862, 41,206.86 and 16,433.82

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Solution

The fourth proportional to 29,862, 41,206.86 and 16,433.82 is: 22,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,862 : 41,206.86 = 16,433.82 : x
  2. Step 2: Convert to fraction form
    29,862/41,206.86 = 16,433.82/x
  3. Step 3: Cross multiply
    29,862x = 41,206.86 × 16,433.82
  4. Step 4: Simplify right side
    29,862x = 677,186,120.01
  5. Step 5: Solve for x
    x = 677,186,120.01/29,862
  6. Step 6: Final answer
    x = 22,677.19

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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.