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Finding the Fourth Proportional to 21,967.89, 32,960.48 and 9,647.25

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Solution

The fourth proportional to 21,967.89, 32,960.48 and 9,647.25 is: 14,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.89 : 32,960.48 = 9,647.25 : x
  2. Step 2: Convert to fraction form
    21,967.89/32,960.48 = 9,647.25/x
  3. Step 3: Cross multiply
    21,967.89x = 32,960.48 × 9,647.25
  4. Step 4: Simplify right side
    21,967.89x = 317,977,942.44
  5. Step 5: Solve for x
    x = 317,977,942.44/21,967.89
  6. Step 6: Final answer
    x = 14,474.67

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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.