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Finding the Fourth Proportional to 12,308.50, 18,464.12 and 4,517.31

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Solution

The fourth proportional to 12,308.50, 18,464.12 and 4,517.31 is: 6,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.50 : 18,464.12 = 4,517.31 : x
  2. Step 2: Convert to fraction form
    12,308.50/18,464.12 = 4,517.31/x
  3. Step 3: Cross multiply
    12,308.50x = 18,464.12 × 4,517.31
  4. Step 4: Simplify right side
    12,308.50x = 83,408,217.51
  5. Step 5: Solve for x
    x = 83,408,217.51/12,308.50
  6. Step 6: Final answer
    x = 6,776.47

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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.