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Finding the Fourth Proportional to 17,324.84, 23,908.53 and 9,771.53

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Solution

The fourth proportional to 17,324.84, 23,908.53 and 9,771.53 is: 13,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324.84 : 23,908.53 = 9,771.53 : x
  2. Step 2: Convert to fraction form
    17,324.84/23,908.53 = 9,771.53/x
  3. Step 3: Cross multiply
    17,324.84x = 23,908.53 × 9,771.53
  4. Step 4: Simplify right side
    17,324.84x = 233,622,918.15
  5. Step 5: Solve for x
    x = 233,622,918.15/17,324.84
  6. Step 6: Final answer
    x = 13,484.85

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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.