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Finding the Fourth Proportional to 13,381.92, 20,072.88 and 5,172

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Solution

The fourth proportional to 13,381.92, 20,072.88 and 5,172 is: 7,758

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.92 : 20,072.88 = 5,172 : x
  2. Step 2: Convert to fraction form
    13,381.92/20,072.88 = 5,172/x
  3. Step 3: Cross multiply
    13,381.92x = 20,072.88 × 5,172
  4. Step 4: Simplify right side
    13,381.92x = 103,816,935.36
  5. Step 5: Solve for x
    x = 103,816,935.36/13,381.92
  6. Step 6: Final answer
    x = 7,758

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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.