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Finding the Fourth Proportional to 13,507.73, 18,640.68 and 7,539.39

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Solution

The fourth proportional to 13,507.73, 18,640.68 and 7,539.39 is: 10,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.73 : 18,640.68 = 7,539.39 : x
  2. Step 2: Convert to fraction form
    13,507.73/18,640.68 = 7,539.39/x
  3. Step 3: Cross multiply
    13,507.73x = 18,640.68 × 7,539.39
  4. Step 4: Simplify right side
    13,507.73x = 140,539,405.47
  5. Step 5: Solve for x
    x = 140,539,405.47/13,507.73
  6. Step 6: Final answer
    x = 10,404.37

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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.