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Finding the Fourth Proportional to 13,665.09, 18,856.97 and 7,696.41

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Solution

The fourth proportional to 13,665.09, 18,856.97 and 7,696.41 is: 10,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.09 : 18,856.97 = 7,696.41 : x
  2. Step 2: Convert to fraction form
    13,665.09/18,856.97 = 7,696.41/x
  3. Step 3: Cross multiply
    13,665.09x = 18,856.97 × 7,696.41
  4. Step 4: Simplify right side
    13,665.09x = 145,130,934.00
  5. Step 5: Solve for x
    x = 145,130,934.00/13,665.09
  6. Step 6: Final answer
    x = 10,620.56

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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.