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Finding the Fourth Proportional to 13,640.40, 20,460.60 and 13,057.20

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Solution

The fourth proportional to 13,640.40, 20,460.60 and 13,057.20 is: 19,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.40 : 20,460.60 = 13,057.20 : x
  2. Step 2: Convert to fraction form
    13,640.40/20,460.60 = 13,057.20/x
  3. Step 3: Cross multiply
    13,640.40x = 20,460.60 × 13,057.20
  4. Step 4: Simplify right side
    13,640.40x = 267,158,146.32
  5. Step 5: Solve for x
    x = 267,158,146.32/13,640.40
  6. Step 6: Final answer
    x = 19,585.80

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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.