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Finding the Fourth Proportional to 23,896.68, 35,842.70 and 7,256.86

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Solution

The fourth proportional to 23,896.68, 35,842.70 and 7,256.86 is: 10,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.68 : 35,842.70 = 7,256.86 : x
  2. Step 2: Convert to fraction form
    23,896.68/35,842.70 = 7,256.86/x
  3. Step 3: Cross multiply
    23,896.68x = 35,842.70 × 7,256.86
  4. Step 4: Simplify right side
    23,896.68x = 260,105,330.03
  5. Step 5: Solve for x
    x = 260,105,330.03/23,896.68
  6. Step 6: Final answer
    x = 10,884.58

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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.