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Finding the Fourth Proportional to 17,687.49, 24,405.48 and 10,519.80

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Solution

The fourth proportional to 17,687.49, 24,405.48 and 10,519.80 is: 14,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.49 : 24,405.48 = 10,519.80 : x
  2. Step 2: Convert to fraction form
    17,687.49/24,405.48 = 10,519.80/x
  3. Step 3: Cross multiply
    17,687.49x = 24,405.48 × 10,519.80
  4. Step 4: Simplify right side
    17,687.49x = 256,740,768.50
  5. Step 5: Solve for x
    x = 256,740,768.50/17,687.49
  6. Step 6: Final answer
    x = 14,515.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.