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Finding the Fourth Proportional to 13,271.37, 19,906.63 and 3,276.17

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Solution

The fourth proportional to 13,271.37, 19,906.63 and 3,276.17 is: 4,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.37 : 19,906.63 = 3,276.17 : x
  2. Step 2: Convert to fraction form
    13,271.37/19,906.63 = 3,276.17/x
  3. Step 3: Cross multiply
    13,271.37x = 19,906.63 × 3,276.17
  4. Step 4: Simplify right side
    13,271.37x = 65,217,504.01
  5. Step 5: Solve for x
    x = 65,217,504.01/13,271.37
  6. Step 6: Final answer
    x = 4,914.15

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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.