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Finding the Fourth Proportional to 13,768.38, 18,999.97 and 7,800.57

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Solution

The fourth proportional to 13,768.38, 18,999.97 and 7,800.57 is: 10,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.38 : 18,999.97 = 7,800.57 : x
  2. Step 2: Convert to fraction form
    13,768.38/18,999.97 = 7,800.57/x
  3. Step 3: Cross multiply
    13,768.38x = 18,999.97 × 7,800.57
  4. Step 4: Simplify right side
    13,768.38x = 148,210,576.48
  5. Step 5: Solve for x
    x = 148,210,576.48/13,768.38
  6. Step 6: Final answer
    x = 10,764.56

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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.