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Finding the Fourth Proportional to 13,208.77, 18,233.81 and 7,902.56

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Solution

The fourth proportional to 13,208.77, 18,233.81 and 7,902.56 is: 10,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.77 : 18,233.81 = 7,902.56 : x
  2. Step 2: Convert to fraction form
    13,208.77/18,233.81 = 7,902.56/x
  3. Step 3: Cross multiply
    13,208.77x = 18,233.81 × 7,902.56
  4. Step 4: Simplify right side
    13,208.77x = 144,093,813.26
  5. Step 5: Solve for x
    x = 144,093,813.26/13,208.77
  6. Step 6: Final answer
    x = 10,908.95

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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.