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Finding the Fourth Proportional to 17,236.41, 23,784.34 and 9,681

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Solution

The fourth proportional to 17,236.41, 23,784.34 and 9,681 is: 13,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,236.41 : 23,784.34 = 9,681 : x
  2. Step 2: Convert to fraction form
    17,236.41/23,784.34 = 9,681/x
  3. Step 3: Cross multiply
    17,236.41x = 23,784.34 × 9,681
  4. Step 4: Simplify right side
    17,236.41x = 230,256,195.54
  5. Step 5: Solve for x
    x = 230,256,195.54/17,236.41
  6. Step 6: Final answer
    x = 13,358.71

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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.