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Finding the Fourth Proportional to 13,722.38, 18,936.64 and 7,753.92

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Solution

The fourth proportional to 13,722.38, 18,936.64 and 7,753.92 is: 10,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.38 : 18,936.64 = 7,753.92 : x
  2. Step 2: Convert to fraction form
    13,722.38/18,936.64 = 7,753.92/x
  3. Step 3: Cross multiply
    13,722.38x = 18,936.64 × 7,753.92
  4. Step 4: Simplify right side
    13,722.38x = 146,833,282.03
  5. Step 5: Solve for x
    x = 146,833,282.03/13,722.38
  6. Step 6: Final answer
    x = 10,700.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.