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Finding the Fourth Proportional to 12,732.92, 19,086.24 and 5,341.67

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Solution

The fourth proportional to 12,732.92, 19,086.24 and 5,341.67 is: 8,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.92 : 19,086.24 = 5,341.67 : x
  2. Step 2: Convert to fraction form
    12,732.92/19,086.24 = 5,341.67/x
  3. Step 3: Cross multiply
    12,732.92x = 19,086.24 × 5,341.67
  4. Step 4: Simplify right side
    12,732.92x = 101,952,395.62
  5. Step 5: Solve for x
    x = 101,952,395.62/12,732.92
  6. Step 6: Final answer
    x = 8,006.99

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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.