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Finding the Fourth Proportional to 12,751.67, 19,108.02 and 5,352.09

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Solution

The fourth proportional to 12,751.67, 19,108.02 and 5,352.09 is: 8,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.67 : 19,108.02 = 5,352.09 : x
  2. Step 2: Convert to fraction form
    12,751.67/19,108.02 = 5,352.09/x
  3. Step 3: Cross multiply
    12,751.67x = 19,108.02 × 5,352.09
  4. Step 4: Simplify right side
    12,751.67x = 102,267,862.83
  5. Step 5: Solve for x
    x = 102,267,862.83/12,751.67
  6. Step 6: Final answer
    x = 8,019.96

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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.