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Finding the Fourth Proportional to 21,008.50, 31,518.15 and 7,861.03

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Solution

The fourth proportional to 21,008.50, 31,518.15 and 7,861.03 is: 11,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.50 : 31,518.15 = 7,861.03 : x
  2. Step 2: Convert to fraction form
    21,008.50/31,518.15 = 7,861.03/x
  3. Step 3: Cross multiply
    21,008.50x = 31,518.15 × 7,861.03
  4. Step 4: Simplify right side
    21,008.50x = 247,765,122.69
  5. Step 5: Solve for x
    x = 247,765,122.69/21,008.50
  6. Step 6: Final answer
    x = 11,793.57

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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.