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Finding the Fourth Proportional to 14,846.34, 22,266 and 4,313.55

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Solution

The fourth proportional to 14,846.34, 22,266 and 4,313.55 is: 6,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.34 : 22,266 = 4,313.55 : x
  2. Step 2: Convert to fraction form
    14,846.34/22,266 = 4,313.55/x
  3. Step 3: Cross multiply
    14,846.34x = 22,266 × 4,313.55
  4. Step 4: Simplify right side
    14,846.34x = 96,045,504.30
  5. Step 5: Solve for x
    x = 96,045,504.30/14,846.34
  6. Step 6: Final answer
    x = 6,469.31

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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.