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Finding the Fourth Proportional to 13,740.38, 18,950.03 and 10,561.38

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Solution

The fourth proportional to 13,740.38, 18,950.03 and 10,561.38 is: 14,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.38 : 18,950.03 = 10,561.38 : x
  2. Step 2: Convert to fraction form
    13,740.38/18,950.03 = 10,561.38/x
  3. Step 3: Cross multiply
    13,740.38x = 18,950.03 × 10,561.38
  4. Step 4: Simplify right side
    13,740.38x = 200,138,383.58
  5. Step 5: Solve for x
    x = 200,138,383.58/13,740.38
  6. Step 6: Final answer
    x = 14,565.71

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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.