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Finding the Fourth Proportional to 12,842.55, 19,266.56 and 5,450.49

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Solution

The fourth proportional to 12,842.55, 19,266.56 and 5,450.49 is: 8,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.55 : 19,266.56 = 5,450.49 : x
  2. Step 2: Convert to fraction form
    12,842.55/19,266.56 = 5,450.49/x
  3. Step 3: Cross multiply
    12,842.55x = 19,266.56 × 5,450.49
  4. Step 4: Simplify right side
    12,842.55x = 105,012,185.80
  5. Step 5: Solve for x
    x = 105,012,185.80/12,842.55
  6. Step 6: Final answer
    x = 8,176.90

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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.