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Finding the Fourth Proportional to 13,538.88, 20,295.36 and 5,212.80

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Solution

The fourth proportional to 13,538.88, 20,295.36 and 5,212.80 is: 7,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.88 : 20,295.36 = 5,212.80 : x
  2. Step 2: Convert to fraction form
    13,538.88/20,295.36 = 5,212.80/x
  3. Step 3: Cross multiply
    13,538.88x = 20,295.36 × 5,212.80
  4. Step 4: Simplify right side
    13,538.88x = 105,795,652.61
  5. Step 5: Solve for x
    x = 105,795,652.61/13,538.88
  6. Step 6: Final answer
    x = 7,814.21

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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.