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Finding the Fourth Proportional to 21,016.50, 31,529.07 and 8,704.50

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Solution

The fourth proportional to 21,016.50, 31,529.07 and 8,704.50 is: 13,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016.50 : 31,529.07 = 8,704.50 : x
  2. Step 2: Convert to fraction form
    21,016.50/31,529.07 = 8,704.50/x
  3. Step 3: Cross multiply
    21,016.50x = 31,529.07 × 8,704.50
  4. Step 4: Simplify right side
    21,016.50x = 274,444,789.82
  5. Step 5: Solve for x
    x = 274,444,789.82/21,016.50
  6. Step 6: Final answer
    x = 13,058.54

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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.