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Finding the Fourth Proportional to 13,761, 20,629.10 and 4,989.75

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Solution

The fourth proportional to 13,761, 20,629.10 and 4,989.75 is: 7,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761 : 20,629.10 = 4,989.75 : x
  2. Step 2: Convert to fraction form
    13,761/20,629.10 = 4,989.75/x
  3. Step 3: Cross multiply
    13,761x = 20,629.10 × 4,989.75
  4. Step 4: Simplify right side
    13,761x = 102,934,026.78
  5. Step 5: Solve for x
    x = 102,934,026.78/13,761
  6. Step 6: Final answer
    x = 7,480.13

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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.