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Finding the Fourth Proportional to 13,723.98, 18,939.02 and 7,436.38

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Solution

The fourth proportional to 13,723.98, 18,939.02 and 7,436.38 is: 10,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.98 : 18,939.02 = 7,436.38 : x
  2. Step 2: Convert to fraction form
    13,723.98/18,939.02 = 7,436.38/x
  3. Step 3: Cross multiply
    13,723.98x = 18,939.02 × 7,436.38
  4. Step 4: Simplify right side
    13,723.98x = 140,837,749.55
  5. Step 5: Solve for x
    x = 140,837,749.55/13,723.98
  6. Step 6: Final answer
    x = 10,262.17

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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.