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Finding the Fourth Proportional to 23,829.25, 35,744.13 and 7,189.42

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Solution

The fourth proportional to 23,829.25, 35,744.13 and 7,189.42 is: 10,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.25 : 35,744.13 = 7,189.42 : x
  2. Step 2: Convert to fraction form
    23,829.25/35,744.13 = 7,189.42/x
  3. Step 3: Cross multiply
    23,829.25x = 35,744.13 × 7,189.42
  4. Step 4: Simplify right side
    23,829.25x = 256,979,527.16
  5. Step 5: Solve for x
    x = 256,979,527.16/23,829.25
  6. Step 6: Final answer
    x = 10,784.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.