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Finding the Fourth Proportional to 17,301.90, 23,878.09 and 9,747.84

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Solution

The fourth proportional to 17,301.90, 23,878.09 and 9,747.84 is: 13,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.90 : 23,878.09 = 9,747.84 : x
  2. Step 2: Convert to fraction form
    17,301.90/23,878.09 = 9,747.84/x
  3. Step 3: Cross multiply
    17,301.90x = 23,878.09 × 9,747.84
  4. Step 4: Simplify right side
    17,301.90x = 232,759,902.55
  5. Step 5: Solve for x
    x = 232,759,902.55/17,301.90
  6. Step 6: Final answer
    x = 13,452.85

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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.