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Finding the Fourth Proportional to 13,419.50, 18,519.23 and 7,450.88

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Solution

The fourth proportional to 13,419.50, 18,519.23 and 7,450.88 is: 10,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.50 : 18,519.23 = 7,450.88 : x
  2. Step 2: Convert to fraction form
    13,419.50/18,519.23 = 7,450.88/x
  3. Step 3: Cross multiply
    13,419.50x = 18,519.23 × 7,450.88
  4. Step 4: Simplify right side
    13,419.50x = 137,984,486.45
  5. Step 5: Solve for x
    x = 137,984,486.45/13,419.50
  6. Step 6: Final answer
    x = 10,282.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.