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Finding the Fourth Proportional to 17,324.48, 23,908.32 and 9,872

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Solution

The fourth proportional to 17,324.48, 23,908.32 and 9,872 is: 13,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324.48 : 23,908.32 = 9,872 : x
  2. Step 2: Convert to fraction form
    17,324.48/23,908.32 = 9,872/x
  3. Step 3: Cross multiply
    17,324.48x = 23,908.32 × 9,872
  4. Step 4: Simplify right side
    17,324.48x = 236,022,935.04
  5. Step 5: Solve for x
    x = 236,022,935.04/17,324.48
  6. Step 6: Final answer
    x = 13,623.67

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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.