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Finding the Fourth Proportional to 23,409.13, 35,113.56 and 7,826.62

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Solution

The fourth proportional to 23,409.13, 35,113.56 and 7,826.62 is: 11,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.13 : 35,113.56 = 7,826.62 : x
  2. Step 2: Convert to fraction form
    23,409.13/35,113.56 = 7,826.62/x
  3. Step 3: Cross multiply
    23,409.13x = 35,113.56 × 7,826.62
  4. Step 4: Simplify right side
    23,409.13x = 274,820,490.97
  5. Step 5: Solve for x
    x = 274,820,490.97/23,409.13
  6. Step 6: Final answer
    x = 11,739.88

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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.