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Finding the Fourth Proportional to 14,757.42, 20,365.11 and 8,469.84

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Solution

The fourth proportional to 14,757.42, 20,365.11 and 8,469.84 is: 11,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.42 : 20,365.11 = 8,469.84 : x
  2. Step 2: Convert to fraction form
    14,757.42/20,365.11 = 8,469.84/x
  3. Step 3: Cross multiply
    14,757.42x = 20,365.11 × 8,469.84
  4. Step 4: Simplify right side
    14,757.42x = 172,489,223.28
  5. Step 5: Solve for x
    x = 172,489,223.28/14,757.42
  6. Step 6: Final answer
    x = 11,688.30

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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.