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Finding the Fourth Proportional to 13,650.94, 20,475.78 and 5,644.72

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Solution

The fourth proportional to 13,650.94, 20,475.78 and 5,644.72 is: 8,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.94 : 20,475.78 = 5,644.72 : x
  2. Step 2: Convert to fraction form
    13,650.94/20,475.78 = 5,644.72/x
  3. Step 3: Cross multiply
    13,650.94x = 20,475.78 × 5,644.72
  4. Step 4: Simplify right side
    13,650.94x = 115,580,044.88
  5. Step 5: Solve for x
    x = 115,580,044.88/13,650.94
  6. Step 6: Final answer
    x = 8,466.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.