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Finding the Fourth Proportional to 20,502.50, 30,704.09 and 11,710.76

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Solution

The fourth proportional to 20,502.50, 30,704.09 and 11,710.76 is: 17,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.50 : 30,704.09 = 11,710.76 : x
  2. Step 2: Convert to fraction form
    20,502.50/30,704.09 = 11,710.76/x
  3. Step 3: Cross multiply
    20,502.50x = 30,704.09 × 11,710.76
  4. Step 4: Simplify right side
    20,502.50x = 359,568,016.93
  5. Step 5: Solve for x
    x = 359,568,016.93/20,502.50
  6. Step 6: Final answer
    x = 17,537.77

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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.