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Finding the Fourth Proportional to 13,417.98, 18,517.98 and 7,450.80

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Solution

The fourth proportional to 13,417.98, 18,517.98 and 7,450.80 is: 10,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.98 : 18,517.98 = 7,450.80 : x
  2. Step 2: Convert to fraction form
    13,417.98/18,517.98 = 7,450.80/x
  3. Step 3: Cross multiply
    13,417.98x = 18,517.98 × 7,450.80
  4. Step 4: Simplify right side
    13,417.98x = 137,973,765.38
  5. Step 5: Solve for x
    x = 137,973,765.38/13,417.98
  6. Step 6: Final answer
    x = 10,282.75

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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.