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Finding the Fourth Proportional to 13,202.43, 18,225.06 and 7,896.22

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Solution

The fourth proportional to 13,202.43, 18,225.06 and 7,896.22 is: 10,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.43 : 18,225.06 = 7,896.22 : x
  2. Step 2: Convert to fraction form
    13,202.43/18,225.06 = 7,896.22/x
  3. Step 3: Cross multiply
    13,202.43x = 18,225.06 × 7,896.22
  4. Step 4: Simplify right side
    13,202.43x = 143,909,043.79
  5. Step 5: Solve for x
    x = 143,909,043.79/13,202.43
  6. Step 6: Final answer
    x = 10,900.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.