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Finding the Fourth Proportional to 14,193.50, 21,309.09 and 12,126.78

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Solution

The fourth proportional to 14,193.50, 21,309.09 and 12,126.78 is: 18,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.50 : 21,309.09 = 12,126.78 : x
  2. Step 2: Convert to fraction form
    14,193.50/21,309.09 = 12,126.78/x
  3. Step 3: Cross multiply
    14,193.50x = 21,309.09 × 12,126.78
  4. Step 4: Simplify right side
    14,193.50x = 258,410,646.43
  5. Step 5: Solve for x
    x = 258,410,646.43/14,193.50
  6. Step 6: Final answer
    x = 18,206.27

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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.