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Finding the Fourth Proportional to 13,751.91, 18,958.24 and 9,771.57

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Solution

The fourth proportional to 13,751.91, 18,958.24 and 9,771.57 is: 13,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.91 : 18,958.24 = 9,771.57 : x
  2. Step 2: Convert to fraction form
    13,751.91/18,958.24 = 9,771.57/x
  3. Step 3: Cross multiply
    13,751.91x = 18,958.24 × 9,771.57
  4. Step 4: Simplify right side
    13,751.91x = 185,251,625.59
  5. Step 5: Solve for x
    x = 185,251,625.59/13,751.91
  6. Step 6: Final answer
    x = 13,470.98

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