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Finding the Fourth Proportional to 13,713.83, 20,571.53 and 3,853.88

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Solution

The fourth proportional to 13,713.83, 20,571.53 and 3,853.88 is: 5,781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.83 : 20,571.53 = 3,853.88 : x
  2. Step 2: Convert to fraction form
    13,713.83/20,571.53 = 3,853.88/x
  3. Step 3: Cross multiply
    13,713.83x = 20,571.53 × 3,853.88
  4. Step 4: Simplify right side
    13,713.83x = 79,280,085.91
  5. Step 5: Solve for x
    x = 79,280,085.91/13,713.83
  6. Step 6: Final answer
    x = 5,781.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.