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Finding the Fourth Proportional to 13,781.12, 20,672.22 and 7,202.84

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Solution

The fourth proportional to 13,781.12, 20,672.22 and 7,202.84 is: 10,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.12 : 20,672.22 = 7,202.84 : x
  2. Step 2: Convert to fraction form
    13,781.12/20,672.22 = 7,202.84/x
  3. Step 3: Cross multiply
    13,781.12x = 20,672.22 × 7,202.84
  4. Step 4: Simplify right side
    13,781.12x = 148,898,693.10
  5. Step 5: Solve for x
    x = 148,898,693.10/13,781.12
  6. Step 6: Final answer
    x = 10,804.54

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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.