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Finding the Fourth Proportional to 29,651.82, 40,920.30 and 16,223.82

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Solution

The fourth proportional to 29,651.82, 40,920.30 and 16,223.82 is: 22,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,651.82 : 40,920.30 = 16,223.82 : x
  2. Step 2: Convert to fraction form
    29,651.82/40,920.30 = 16,223.82/x
  3. Step 3: Cross multiply
    29,651.82x = 40,920.30 × 16,223.82
  4. Step 4: Simplify right side
    29,651.82x = 663,883,581.55
  5. Step 5: Solve for x
    x = 663,883,581.55/29,651.82
  6. Step 6: Final answer
    x = 22,389.30

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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.