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Finding the Fourth Proportional to 29,830.20, 41,165.88 and 16,401

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Solution

The fourth proportional to 29,830.20, 41,165.88 and 16,401 is: 22,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.20 : 41,165.88 = 16,401 : x
  2. Step 2: Convert to fraction form
    29,830.20/41,165.88 = 16,401/x
  3. Step 3: Cross multiply
    29,830.20x = 41,165.88 × 16,401
  4. Step 4: Simplify right side
    29,830.20x = 675,161,597.88
  5. Step 5: Solve for x
    x = 675,161,597.88/29,830.20
  6. Step 6: Final answer
    x = 22,633.49

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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.