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Finding the Fourth Proportional to 13,537.94, 20,310.37 and 5,215.71

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Solution

The fourth proportional to 13,537.94, 20,310.37 and 5,215.71 is: 7,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.94 : 20,310.37 = 5,215.71 : x
  2. Step 2: Convert to fraction form
    13,537.94/20,310.37 = 5,215.71/x
  3. Step 3: Cross multiply
    13,537.94x = 20,310.37 × 5,215.71
  4. Step 4: Simplify right side
    13,537.94x = 105,933,063.04
  5. Step 5: Solve for x
    x = 105,933,063.04/13,537.94
  6. Step 6: Final answer
    x = 7,824.91

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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.