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Finding the Fourth Proportional to 12,243.50, 18,365.20 and 3,478.42

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Solution

The fourth proportional to 12,243.50, 18,365.20 and 3,478.42 is: 5,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.50 : 18,365.20 = 3,478.42 : x
  2. Step 2: Convert to fraction form
    12,243.50/18,365.20 = 3,478.42/x
  3. Step 3: Cross multiply
    12,243.50x = 18,365.20 × 3,478.42
  4. Step 4: Simplify right side
    12,243.50x = 63,881,878.98
  5. Step 5: Solve for x
    x = 63,881,878.98/12,243.50
  6. Step 6: Final answer
    x = 5,217.62

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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.