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Finding the Fourth Proportional to 13,664.94, 18,857.79 and 7,696.59

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Solution

The fourth proportional to 13,664.94, 18,857.79 and 7,696.59 is: 10,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.94 : 18,857.79 = 7,696.59 : x
  2. Step 2: Convert to fraction form
    13,664.94/18,857.79 = 7,696.59/x
  3. Step 3: Cross multiply
    13,664.94x = 18,857.79 × 7,696.59
  4. Step 4: Simplify right side
    13,664.94x = 145,140,677.94
  5. Step 5: Solve for x
    x = 145,140,677.94/13,664.94
  6. Step 6: Final answer
    x = 10,621.39

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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.