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Finding the Fourth Proportional to 13,713.35, 20,573.90 and 3,852.71

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Solution

The fourth proportional to 13,713.35, 20,573.90 and 3,852.71 is: 5,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.35 : 20,573.90 = 3,852.71 : x
  2. Step 2: Convert to fraction form
    13,713.35/20,573.90 = 3,852.71/x
  3. Step 3: Cross multiply
    13,713.35x = 20,573.90 × 3,852.71
  4. Step 4: Simplify right side
    13,713.35x = 79,265,302.44
  5. Step 5: Solve for x
    x = 79,265,302.44/13,713.35
  6. Step 6: Final answer
    x = 5,780.16

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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.