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Finding the Fourth Proportional to 13,665.28, 18,857.71 and 7,696.83

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Solution

The fourth proportional to 13,665.28, 18,857.71 and 7,696.83 is: 10,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.28 : 18,857.71 = 7,696.83 : x
  2. Step 2: Convert to fraction form
    13,665.28/18,857.71 = 7,696.83/x
  3. Step 3: Cross multiply
    13,665.28x = 18,857.71 × 7,696.83
  4. Step 4: Simplify right side
    13,665.28x = 145,144,588.06
  5. Step 5: Solve for x
    x = 145,144,588.06/13,665.28
  6. Step 6: Final answer
    x = 10,621.41

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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.