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Finding the Fourth Proportional to 19,453.52, 29,129.88 and 14,166.80

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Solution

The fourth proportional to 19,453.52, 29,129.88 and 14,166.80 is: 21,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,453.52 : 29,129.88 = 14,166.80 : x
  2. Step 2: Convert to fraction form
    19,453.52/29,129.88 = 14,166.80/x
  3. Step 3: Cross multiply
    19,453.52x = 29,129.88 × 14,166.80
  4. Step 4: Simplify right side
    19,453.52x = 412,677,183.98
  5. Step 5: Solve for x
    x = 412,677,183.98/19,453.52
  6. Step 6: Final answer
    x = 21,213.50

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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.