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Finding the Fourth Proportional to 13,517.40, 20,261.70 and 5,194.20

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Solution

The fourth proportional to 13,517.40, 20,261.70 and 5,194.20 is: 7,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.40 : 20,261.70 = 5,194.20 : x
  2. Step 2: Convert to fraction form
    13,517.40/20,261.70 = 5,194.20/x
  3. Step 3: Cross multiply
    13,517.40x = 20,261.70 × 5,194.20
  4. Step 4: Simplify right side
    13,517.40x = 105,243,322.14
  5. Step 5: Solve for x
    x = 105,243,322.14/13,517.40
  6. Step 6: Final answer
    x = 7,785.77

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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.