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Finding the Fourth Proportional to 13,450.74, 20,175.95 and 6,049.98

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Solution

The fourth proportional to 13,450.74, 20,175.95 and 6,049.98 is: 9,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.74 : 20,175.95 = 6,049.98 : x
  2. Step 2: Convert to fraction form
    13,450.74/20,175.95 = 6,049.98/x
  3. Step 3: Cross multiply
    13,450.74x = 20,175.95 × 6,049.98
  4. Step 4: Simplify right side
    13,450.74x = 122,064,010.76
  5. Step 5: Solve for x
    x = 122,064,010.76/13,450.74
  6. Step 6: Final answer
    x = 9,074.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.