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Finding the Fourth Proportional to 29,827.71, 41,162.27 and 16,399.20

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Solution

The fourth proportional to 29,827.71, 41,162.27 and 16,399.20 is: 22,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.71 : 41,162.27 = 16,399.20 : x
  2. Step 2: Convert to fraction form
    29,827.71/41,162.27 = 16,399.20/x
  3. Step 3: Cross multiply
    29,827.71x = 41,162.27 × 16,399.20
  4. Step 4: Simplify right side
    29,827.71x = 675,028,298.18
  5. Step 5: Solve for x
    x = 675,028,298.18/29,827.71
  6. Step 6: Final answer
    x = 22,630.91

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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.