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Finding the Fourth Proportional to 12,096.09, 16,696.80 and 7,318.71

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Solution

The fourth proportional to 12,096.09, 16,696.80 and 7,318.71 is: 10,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.09 : 16,696.80 = 7,318.71 : x
  2. Step 2: Convert to fraction form
    12,096.09/16,696.80 = 7,318.71/x
  3. Step 3: Cross multiply
    12,096.09x = 16,696.80 × 7,318.71
  4. Step 4: Simplify right side
    12,096.09x = 122,199,037.13
  5. Step 5: Solve for x
    x = 122,199,037.13/12,096.09
  6. Step 6: Final answer
    x = 10,102.36

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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.