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Finding the Fourth Proportional to 17,502.50, 26,231.81 and 13,790.07

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Solution

The fourth proportional to 17,502.50, 26,231.81 and 13,790.07 is: 20,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502.50 : 26,231.81 = 13,790.07 : x
  2. Step 2: Convert to fraction form
    17,502.50/26,231.81 = 13,790.07/x
  3. Step 3: Cross multiply
    17,502.50x = 26,231.81 × 13,790.07
  4. Step 4: Simplify right side
    17,502.50x = 361,738,427.18
  5. Step 5: Solve for x
    x = 361,738,427.18/17,502.50
  6. Step 6: Final answer
    x = 20,667.82

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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.