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Finding the Fourth Proportional to 13,502.10, 18,632.73 and 7,452.39

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Solution

The fourth proportional to 13,502.10, 18,632.73 and 7,452.39 is: 10,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.10 : 18,632.73 = 7,452.39 : x
  2. Step 2: Convert to fraction form
    13,502.10/18,632.73 = 7,452.39/x
  3. Step 3: Cross multiply
    13,502.10x = 18,632.73 × 7,452.39
  4. Step 4: Simplify right side
    13,502.10x = 138,858,370.72
  5. Step 5: Solve for x
    x = 138,858,370.72/13,502.10
  6. Step 6: Final answer
    x = 10,284.21

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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.