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Finding the Fourth Proportional to 20,102.40, 27,734.40 and 13,017.60

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Solution

The fourth proportional to 20,102.40, 27,734.40 and 13,017.60 is: 17,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.40 : 27,734.40 = 13,017.60 : x
  2. Step 2: Convert to fraction form
    20,102.40/27,734.40 = 13,017.60/x
  3. Step 3: Cross multiply
    20,102.40x = 27,734.40 × 13,017.60
  4. Step 4: Simplify right side
    20,102.40x = 361,035,325.44
  5. Step 5: Solve for x
    x = 361,035,325.44/20,102.40
  6. Step 6: Final answer
    x = 17,959.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.