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Finding the Fourth Proportional to 17,323.84, 23,906.72 and 9,872

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Solution

The fourth proportional to 17,323.84, 23,906.72 and 9,872 is: 13,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,323.84 : 23,906.72 = 9,872 : x
  2. Step 2: Convert to fraction form
    17,323.84/23,906.72 = 9,872/x
  3. Step 3: Cross multiply
    17,323.84x = 23,906.72 × 9,872
  4. Step 4: Simplify right side
    17,323.84x = 236,007,139.84
  5. Step 5: Solve for x
    x = 236,007,139.84/17,323.84
  6. Step 6: Final answer
    x = 13,623.26

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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.