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Finding the Fourth Proportional to 29,827.90, 41,163.12 and 16,399.72

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Solution

The fourth proportional to 29,827.90, 41,163.12 and 16,399.72 is: 22,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.90 : 41,163.12 = 16,399.72 : x
  2. Step 2: Convert to fraction form
    29,827.90/41,163.12 = 16,399.72/x
  3. Step 3: Cross multiply
    29,827.90x = 41,163.12 × 16,399.72
  4. Step 4: Simplify right side
    29,827.90x = 675,063,354.51
  5. Step 5: Solve for x
    x = 675,063,354.51/29,827.90
  6. Step 6: Final answer
    x = 22,631.95

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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.