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Finding the Fourth Proportional to 29,830.80, 41,165.96 and 16,401.90

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Solution

The fourth proportional to 29,830.80, 41,165.96 and 16,401.90 is: 22,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.80 : 41,165.96 = 16,401.90 : x
  2. Step 2: Convert to fraction form
    29,830.80/41,165.96 = 16,401.90/x
  3. Step 3: Cross multiply
    29,830.80x = 41,165.96 × 16,401.90
  4. Step 4: Simplify right side
    29,830.80x = 675,199,959.32
  5. Step 5: Solve for x
    x = 675,199,959.32/29,830.80
  6. Step 6: Final answer
    x = 22,634.32

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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.