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Finding the Fourth Proportional to 13,507.37, 18,640.37 and 7,539.49

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Solution

The fourth proportional to 13,507.37, 18,640.37 and 7,539.49 is: 10,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.37 : 18,640.37 = 7,539.49 : x
  2. Step 2: Convert to fraction form
    13,507.37/18,640.37 = 7,539.49/x
  3. Step 3: Cross multiply
    13,507.37x = 18,640.37 × 7,539.49
  4. Step 4: Simplify right side
    13,507.37x = 140,538,851.73
  5. Step 5: Solve for x
    x = 140,538,851.73/13,507.37
  6. Step 6: Final answer
    x = 10,404.61

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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.