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Finding the Fourth Proportional to 13,003.38, 17,944.63 and 7,338.11

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Solution

The fourth proportional to 13,003.38, 17,944.63 and 7,338.11 is: 10,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.38 : 17,944.63 = 7,338.11 : x
  2. Step 2: Convert to fraction form
    13,003.38/17,944.63 = 7,338.11/x
  3. Step 3: Cross multiply
    13,003.38x = 17,944.63 × 7,338.11
  4. Step 4: Simplify right side
    13,003.38x = 131,679,718.91
  5. Step 5: Solve for x
    x = 131,679,718.91/13,003.38
  6. Step 6: Final answer
    x = 10,126.58

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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.