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Finding the Fourth Proportional to 14,647.26, 21,962.52 and 4,650.12

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Solution

The fourth proportional to 14,647.26, 21,962.52 and 4,650.12 is: 6,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.26 : 21,962.52 = 4,650.12 : x
  2. Step 2: Convert to fraction form
    14,647.26/21,962.52 = 4,650.12/x
  3. Step 3: Cross multiply
    14,647.26x = 21,962.52 × 4,650.12
  4. Step 4: Simplify right side
    14,647.26x = 102,128,353.50
  5. Step 5: Solve for x
    x = 102,128,353.50/14,647.26
  6. Step 6: Final answer
    x = 6,972.52

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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.