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Finding the Fourth Proportional to 14,311.52, 21,468 and 4,450.64

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Solution

The fourth proportional to 14,311.52, 21,468 and 4,450.64 is: 6,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.52 : 21,468 = 4,450.64 : x
  2. Step 2: Convert to fraction form
    14,311.52/21,468 = 4,450.64/x
  3. Step 3: Cross multiply
    14,311.52x = 21,468 × 4,450.64
  4. Step 4: Simplify right side
    14,311.52x = 95,546,339.52
  5. Step 5: Solve for x
    x = 95,546,339.52/14,311.52
  6. Step 6: Final answer
    x = 6,676.18

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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.