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Finding the Fourth Proportional to 13,206.19, 18,224.49 and 7,902.26

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Solution

The fourth proportional to 13,206.19, 18,224.49 and 7,902.26 is: 10,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.19 : 18,224.49 = 7,902.26 : x
  2. Step 2: Convert to fraction form
    13,206.19/18,224.49 = 7,902.26/x
  3. Step 3: Cross multiply
    13,206.19x = 18,224.49 × 7,902.26
  4. Step 4: Simplify right side
    13,206.19x = 144,014,665.20
  5. Step 5: Solve for x
    x = 144,014,665.20/13,206.19
  6. Step 6: Final answer
    x = 10,905.09

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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.