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Finding the Fourth Proportional to 13,517.34, 20,276.13 and 3,656.71

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Solution

The fourth proportional to 13,517.34, 20,276.13 and 3,656.71 is: 5,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.34 : 20,276.13 = 3,656.71 : x
  2. Step 2: Convert to fraction form
    13,517.34/20,276.13 = 3,656.71/x
  3. Step 3: Cross multiply
    13,517.34x = 20,276.13 × 3,656.71
  4. Step 4: Simplify right side
    13,517.34x = 74,143,927.33
  5. Step 5: Solve for x
    x = 74,143,927.33/13,517.34
  6. Step 6: Final answer
    x = 5,485.10

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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.