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Finding the Fourth Proportional to 13,204.67, 19,807.02 and 3,209.36

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Solution

The fourth proportional to 13,204.67, 19,807.02 and 3,209.36 is: 4,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.67 : 19,807.02 = 3,209.36 : x
  2. Step 2: Convert to fraction form
    13,204.67/19,807.02 = 3,209.36/x
  3. Step 3: Cross multiply
    13,204.67x = 19,807.02 × 3,209.36
  4. Step 4: Simplify right side
    13,204.67x = 63,567,857.71
  5. Step 5: Solve for x
    x = 63,567,857.71/13,204.67
  6. Step 6: Final answer
    x = 4,814.04

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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.