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Finding the Fourth Proportional to 23,821.16, 35,735.38 and 7,179.03

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Solution

The fourth proportional to 23,821.16, 35,735.38 and 7,179.03 is: 10,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.16 : 35,735.38 = 7,179.03 : x
  2. Step 2: Convert to fraction form
    23,821.16/35,735.38 = 7,179.03/x
  3. Step 3: Cross multiply
    23,821.16x = 35,735.38 × 7,179.03
  4. Step 4: Simplify right side
    23,821.16x = 256,545,347.13
  5. Step 5: Solve for x
    x = 256,545,347.13/23,821.16
  6. Step 6: Final answer
    x = 10,769.64

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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.