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Finding the Fourth Proportional to 13,644.80, 18,829.90 and 7,676.57

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Solution

The fourth proportional to 13,644.80, 18,829.90 and 7,676.57 is: 10,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.80 : 18,829.90 = 7,676.57 : x
  2. Step 2: Convert to fraction form
    13,644.80/18,829.90 = 7,676.57/x
  3. Step 3: Cross multiply
    13,644.80x = 18,829.90 × 7,676.57
  4. Step 4: Simplify right side
    13,644.80x = 144,549,102.11
  5. Step 5: Solve for x
    x = 144,549,102.11/13,644.80
  6. Step 6: Final answer
    x = 10,593.71

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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.