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Finding the Fourth Proportional to 13,201.67, 19,802.52 and 3,206.36

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Solution

The fourth proportional to 13,201.67, 19,802.52 and 3,206.36 is: 4,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.67 : 19,802.52 = 3,206.36 : x
  2. Step 2: Convert to fraction form
    13,201.67/19,802.52 = 3,206.36/x
  3. Step 3: Cross multiply
    13,201.67x = 19,802.52 × 3,206.36
  4. Step 4: Simplify right side
    13,201.67x = 63,494,057.53
  5. Step 5: Solve for x
    x = 63,494,057.53/13,201.67
  6. Step 6: Final answer
    x = 4,809.55

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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.