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Finding the Fourth Proportional to 29,566.89, 40,801.59 and 16,138.44

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Solution

The fourth proportional to 29,566.89, 40,801.59 and 16,138.44 is: 22,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566.89 : 40,801.59 = 16,138.44 : x
  2. Step 2: Convert to fraction form
    29,566.89/40,801.59 = 16,138.44/x
  3. Step 3: Cross multiply
    29,566.89x = 40,801.59 × 16,138.44
  4. Step 4: Simplify right side
    29,566.89x = 658,474,012.12
  5. Step 5: Solve for x
    x = 658,474,012.12/29,566.89
  6. Step 6: Final answer
    x = 22,270.66

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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.