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Finding the Fourth Proportional to 13,845.96, 20,775 and 7,270.59

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Solution

The fourth proportional to 13,845.96, 20,775 and 7,270.59 is: 10,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845.96 : 20,775 = 7,270.59 : x
  2. Step 2: Convert to fraction form
    13,845.96/20,775 = 7,270.59/x
  3. Step 3: Cross multiply
    13,845.96x = 20,775 × 7,270.59
  4. Step 4: Simplify right side
    13,845.96x = 151,046,507.25
  5. Step 5: Solve for x
    x = 151,046,507.25/13,845.96
  6. Step 6: Final answer
    x = 10,909.07

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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.