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Finding the Fourth Proportional to 13,206.21, 18,224.58 and 7,902.29

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Solution

The fourth proportional to 13,206.21, 18,224.58 and 7,902.29 is: 10,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.21 : 18,224.58 = 7,902.29 : x
  2. Step 2: Convert to fraction form
    13,206.21/18,224.58 = 7,902.29/x
  3. Step 3: Cross multiply
    13,206.21x = 18,224.58 × 7,902.29
  4. Step 4: Simplify right side
    13,206.21x = 144,015,916.29
  5. Step 5: Solve for x
    x = 144,015,916.29/13,206.21
  6. Step 6: Final answer
    x = 10,905.17

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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.