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Finding the Fourth Proportional to 17,340.22, 23,923.56 and 9,785.62

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Solution

The fourth proportional to 17,340.22, 23,923.56 and 9,785.62 is: 13,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,340.22 : 23,923.56 = 9,785.62 : x
  2. Step 2: Convert to fraction form
    17,340.22/23,923.56 = 9,785.62/x
  3. Step 3: Cross multiply
    17,340.22x = 23,923.56 × 9,785.62
  4. Step 4: Simplify right side
    17,340.22x = 234,106,867.21
  5. Step 5: Solve for x
    x = 234,106,867.21/17,340.22
  6. Step 6: Final answer
    x = 13,500.80

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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.