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Finding the Fourth Proportional to 13,202.92, 19,693.09 and 12,284.36

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Solution

The fourth proportional to 13,202.92, 19,693.09 and 12,284.36 is: 18,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.92 : 19,693.09 = 12,284.36 : x
  2. Step 2: Convert to fraction form
    13,202.92/19,693.09 = 12,284.36/x
  3. Step 3: Cross multiply
    13,202.92x = 19,693.09 × 12,284.36
  4. Step 4: Simplify right side
    13,202.92x = 241,917,007.07
  5. Step 5: Solve for x
    x = 241,917,007.07/13,202.92
  6. Step 6: Final answer
    x = 18,322.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.