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Finding the Fourth Proportional to 12,208.40, 18,314.04 and 3,885.50

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Solution

The fourth proportional to 12,208.40, 18,314.04 and 3,885.50 is: 5,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.40 : 18,314.04 = 3,885.50 : x
  2. Step 2: Convert to fraction form
    12,208.40/18,314.04 = 3,885.50/x
  3. Step 3: Cross multiply
    12,208.40x = 18,314.04 × 3,885.50
  4. Step 4: Simplify right side
    12,208.40x = 71,159,202.42
  5. Step 5: Solve for x
    x = 71,159,202.42/12,208.40
  6. Step 6: Final answer
    x = 5,828.71

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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.