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Finding the Fourth Proportional to 23,851.96, 35,738.14 and 10,505.08

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Solution

The fourth proportional to 23,851.96, 35,738.14 and 10,505.08 is: 15,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.96 : 35,738.14 = 10,505.08 : x
  2. Step 2: Convert to fraction form
    23,851.96/35,738.14 = 10,505.08/x
  3. Step 3: Cross multiply
    23,851.96x = 35,738.14 × 10,505.08
  4. Step 4: Simplify right side
    23,851.96x = 375,432,019.75
  5. Step 5: Solve for x
    x = 375,432,019.75/23,851.96
  6. Step 6: Final answer
    x = 15,740.09

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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.