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Finding the Fourth Proportional to 13,502.00, 20,251.13 and 3,641.87

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Solution

The fourth proportional to 13,502.00, 20,251.13 and 3,641.87 is: 5,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.00 : 20,251.13 = 3,641.87 : x
  2. Step 2: Convert to fraction form
    13,502.00/20,251.13 = 3,641.87/x
  3. Step 3: Cross multiply
    13,502.00x = 20,251.13 × 3,641.87
  4. Step 4: Simplify right side
    13,502.00x = 73,751,863.35
  5. Step 5: Solve for x
    x = 73,751,863.35/13,502.00
  6. Step 6: Final answer
    x = 5,462.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.