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Finding the Fourth Proportional to 12,282.59, 18,423.82 and 3,517.50

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Solution

The fourth proportional to 12,282.59, 18,423.82 and 3,517.50 is: 5,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.59 : 18,423.82 = 3,517.50 : x
  2. Step 2: Convert to fraction form
    12,282.59/18,423.82 = 3,517.50/x
  3. Step 3: Cross multiply
    12,282.59x = 18,423.82 × 3,517.50
  4. Step 4: Simplify right side
    12,282.59x = 64,805,786.85
  5. Step 5: Solve for x
    x = 64,805,786.85/12,282.59
  6. Step 6: Final answer
    x = 5,276.23

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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.