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Finding the Fourth Proportional to 12,199.82, 18,299.27 and 3,434.50

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Solution

The fourth proportional to 12,199.82, 18,299.27 and 3,434.50 is: 5,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.82 : 18,299.27 = 3,434.50 : x
  2. Step 2: Convert to fraction form
    12,199.82/18,299.27 = 3,434.50/x
  3. Step 3: Cross multiply
    12,199.82x = 18,299.27 × 3,434.50
  4. Step 4: Simplify right side
    12,199.82x = 62,848,854.96
  5. Step 5: Solve for x
    x = 62,848,854.96/12,199.82
  6. Step 6: Final answer
    x = 5,151.62

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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.