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Finding the Fourth Proportional to 29,840.90, 41,180.71 and 16,229.06

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Solution

The fourth proportional to 29,840.90, 41,180.71 and 16,229.06 is: 22,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840.90 : 41,180.71 = 16,229.06 : x
  2. Step 2: Convert to fraction form
    29,840.90/41,180.71 = 16,229.06/x
  3. Step 3: Cross multiply
    29,840.90x = 41,180.71 × 16,229.06
  4. Step 4: Simplify right side
    29,840.90x = 668,324,275.81
  5. Step 5: Solve for x
    x = 668,324,275.81/29,840.90
  6. Step 6: Final answer
    x = 22,396.25

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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.