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Finding the Fourth Proportional to 12,421.50, 18,604.97 and 11,449.25

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Solution

The fourth proportional to 12,421.50, 18,604.97 and 11,449.25 is: 17,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.50 : 18,604.97 = 11,449.25 : x
  2. Step 2: Convert to fraction form
    12,421.50/18,604.97 = 11,449.25/x
  3. Step 3: Cross multiply
    12,421.50x = 18,604.97 × 11,449.25
  4. Step 4: Simplify right side
    12,421.50x = 213,012,883.00
  5. Step 5: Solve for x
    x = 213,012,883.00/12,421.50
  6. Step 6: Final answer
    x = 17,148.72

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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.