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Finding the Fourth Proportional to 23,478.48, 35,217.72 and 7,896.12

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Solution

The fourth proportional to 23,478.48, 35,217.72 and 7,896.12 is: 11,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.48 : 35,217.72 = 7,896.12 : x
  2. Step 2: Convert to fraction form
    23,478.48/35,217.72 = 7,896.12/x
  3. Step 3: Cross multiply
    23,478.48x = 35,217.72 × 7,896.12
  4. Step 4: Simplify right side
    23,478.48x = 278,083,343.25
  5. Step 5: Solve for x
    x = 278,083,343.25/23,478.48
  6. Step 6: Final answer
    x = 11,844.18

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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.