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Finding the Fourth Proportional to 17,023.84, 23,489.46 and 9,948.89

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Solution

The fourth proportional to 17,023.84, 23,489.46 and 9,948.89 is: 13,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.84 : 23,489.46 = 9,948.89 : x
  2. Step 2: Convert to fraction form
    17,023.84/23,489.46 = 9,948.89/x
  3. Step 3: Cross multiply
    17,023.84x = 23,489.46 × 9,948.89
  4. Step 4: Simplify right side
    17,023.84x = 233,694,112.42
  5. Step 5: Solve for x
    x = 233,694,112.42/17,023.84
  6. Step 6: Final answer
    x = 13,727.46

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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.