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Finding the Fourth Proportional to 13,505.77, 18,638.89 and 7,538.60

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Solution

The fourth proportional to 13,505.77, 18,638.89 and 7,538.60 is: 10,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.77 : 18,638.89 = 7,538.60 : x
  2. Step 2: Convert to fraction form
    13,505.77/18,638.89 = 7,538.60/x
  3. Step 3: Cross multiply
    13,505.77x = 18,638.89 × 7,538.60
  4. Step 4: Simplify right side
    13,505.77x = 140,511,042.96
  5. Step 5: Solve for x
    x = 140,511,042.96/13,505.77
  6. Step 6: Final answer
    x = 10,403.78

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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.