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Finding the Fourth Proportional to 23,874.88, 35,812.32 and 9,080.38

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Solution

The fourth proportional to 23,874.88, 35,812.32 and 9,080.38 is: 13,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.88 : 35,812.32 = 9,080.38 : x
  2. Step 2: Convert to fraction form
    23,874.88/35,812.32 = 9,080.38/x
  3. Step 3: Cross multiply
    23,874.88x = 35,812.32 × 9,080.38
  4. Step 4: Simplify right side
    23,874.88x = 325,189,474.28
  5. Step 5: Solve for x
    x = 325,189,474.28/23,874.88
  6. Step 6: Final answer
    x = 13,620.57

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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.