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Finding the Fourth Proportional to 13,665.35, 18,858.28 and 7,696.46

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Solution

The fourth proportional to 13,665.35, 18,858.28 and 7,696.46 is: 10,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.35 : 18,858.28 = 7,696.46 : x
  2. Step 2: Convert to fraction form
    13,665.35/18,858.28 = 7,696.46/x
  3. Step 3: Cross multiply
    13,665.35x = 18,858.28 × 7,696.46
  4. Step 4: Simplify right side
    13,665.35x = 145,141,969.78
  5. Step 5: Solve for x
    x = 145,141,969.78/13,665.35
  6. Step 6: Final answer
    x = 10,621.17

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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.