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Finding the Fourth Proportional to 13,507.38, 18,640.23 and 7,538.94

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Solution

The fourth proportional to 13,507.38, 18,640.23 and 7,538.94 is: 10,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.38 : 18,640.23 = 7,538.94 : x
  2. Step 2: Convert to fraction form
    13,507.38/18,640.23 = 7,538.94/x
  3. Step 3: Cross multiply
    13,507.38x = 18,640.23 × 7,538.94
  4. Step 4: Simplify right side
    13,507.38x = 140,527,575.56
  5. Step 5: Solve for x
    x = 140,527,575.56/13,507.38
  6. Step 6: Final answer
    x = 10,403.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.