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Finding the Fourth Proportional to 13,179.92, 19,774.43 and 8,243.67

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Solution

The fourth proportional to 13,179.92, 19,774.43 and 8,243.67 is: 12,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,179.92 : 19,774.43 = 8,243.67 : x
  2. Step 2: Convert to fraction form
    13,179.92/19,774.43 = 8,243.67/x
  3. Step 3: Cross multiply
    13,179.92x = 19,774.43 × 8,243.67
  4. Step 4: Simplify right side
    13,179.92x = 163,013,939.21
  5. Step 5: Solve for x
    x = 163,013,939.21/13,179.92
  6. Step 6: Final answer
    x = 12,368.36

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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.