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Finding the Fourth Proportional to 12,850.83, 19,266.12 and 8,638.38

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Solution

The fourth proportional to 12,850.83, 19,266.12 and 8,638.38 is: 12,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.83 : 19,266.12 = 8,638.38 : x
  2. Step 2: Convert to fraction form
    12,850.83/19,266.12 = 8,638.38/x
  3. Step 3: Cross multiply
    12,850.83x = 19,266.12 × 8,638.38
  4. Step 4: Simplify right side
    12,850.83x = 166,428,065.69
  5. Step 5: Solve for x
    x = 166,428,065.69/12,850.83
  6. Step 6: Final answer
    x = 12,950.76

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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.