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Finding the Fourth Proportional to 13,216.50, 19,828.05 and 3,982.50

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Solution

The fourth proportional to 13,216.50, 19,828.05 and 3,982.50 is: 5,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.50 : 19,828.05 = 3,982.50 : x
  2. Step 2: Convert to fraction form
    13,216.50/19,828.05 = 3,982.50/x
  3. Step 3: Cross multiply
    13,216.50x = 19,828.05 × 3,982.50
  4. Step 4: Simplify right side
    13,216.50x = 78,965,209.13
  5. Step 5: Solve for x
    x = 78,965,209.13/13,216.50
  6. Step 6: Final answer
    x = 5,974.74

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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.