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Finding the Fourth Proportional to 16,744.62, 25,108.02 and 8,309.82

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Solution

The fourth proportional to 16,744.62, 25,108.02 and 8,309.82 is: 12,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.62 : 25,108.02 = 8,309.82 : x
  2. Step 2: Convert to fraction form
    16,744.62/25,108.02 = 8,309.82/x
  3. Step 3: Cross multiply
    16,744.62x = 25,108.02 × 8,309.82
  4. Step 4: Simplify right side
    16,744.62x = 208,643,126.76
  5. Step 5: Solve for x
    x = 208,643,126.76/16,744.62
  6. Step 6: Final answer
    x = 12,460.31

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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.