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Finding the Fourth Proportional to 14,497.20, 21,745.80 and 12,769.20

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Solution

The fourth proportional to 14,497.20, 21,745.80 and 12,769.20 is: 19,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.20 : 21,745.80 = 12,769.20 : x
  2. Step 2: Convert to fraction form
    14,497.20/21,745.80 = 12,769.20/x
  3. Step 3: Cross multiply
    14,497.20x = 21,745.80 × 12,769.20
  4. Step 4: Simplify right side
    14,497.20x = 277,676,469.36
  5. Step 5: Solve for x
    x = 277,676,469.36/14,497.20
  6. Step 6: Final answer
    x = 19,153.80

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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.