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Finding the Fourth Proportional to 13,502.72, 20,247.62 and 6,381.04

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Solution

The fourth proportional to 13,502.72, 20,247.62 and 6,381.04 is: 9,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.72 : 20,247.62 = 6,381.04 : x
  2. Step 2: Convert to fraction form
    13,502.72/20,247.62 = 6,381.04/x
  3. Step 3: Cross multiply
    13,502.72x = 20,247.62 × 6,381.04
  4. Step 4: Simplify right side
    13,502.72x = 129,200,790.60
  5. Step 5: Solve for x
    x = 129,200,790.60/13,502.72
  6. Step 6: Final answer
    x = 9,568.50

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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.