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Finding the Fourth Proportional to 17,112, 23,601.60 and 11,815.68

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Solution

The fourth proportional to 17,112, 23,601.60 and 11,815.68 is: 16,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112 : 23,601.60 = 11,815.68 : x
  2. Step 2: Convert to fraction form
    17,112/23,601.60 = 11,815.68/x
  3. Step 3: Cross multiply
    17,112x = 23,601.60 × 11,815.68
  4. Step 4: Simplify right side
    17,112x = 278,868,953.09
  5. Step 5: Solve for x
    x = 278,868,953.09/17,112
  6. Step 6: Final answer
    x = 16,296.69

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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.