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Finding the Fourth Proportional to 21,242.49, 31,861.67 and 6,451.54

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Solution

The fourth proportional to 21,242.49, 31,861.67 and 6,451.54 is: 9,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.49 : 31,861.67 = 6,451.54 : x
  2. Step 2: Convert to fraction form
    21,242.49/31,861.67 = 6,451.54/x
  3. Step 3: Cross multiply
    21,242.49x = 31,861.67 × 6,451.54
  4. Step 4: Simplify right side
    21,242.49x = 205,556,750.75
  5. Step 5: Solve for x
    x = 205,556,750.75/21,242.49
  6. Step 6: Final answer
    x = 9,676.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.