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Finding the Fourth Proportional to 13,507.25, 18,638.15 and 7,538.15

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Solution

The fourth proportional to 13,507.25, 18,638.15 and 7,538.15 is: 10,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.25 : 18,638.15 = 7,538.15 : x
  2. Step 2: Convert to fraction form
    13,507.25/18,638.15 = 7,538.15/x
  3. Step 3: Cross multiply
    13,507.25x = 18,638.15 × 7,538.15
  4. Step 4: Simplify right side
    13,507.25x = 140,497,039.54
  5. Step 5: Solve for x
    x = 140,497,039.54/13,507.25
  6. Step 6: Final answer
    x = 10,401.61

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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.