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Finding the Fourth Proportional to 23,529.68, 35,295.74 and 10,382.16

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Solution

The fourth proportional to 23,529.68, 35,295.74 and 10,382.16 is: 15,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529.68 : 35,295.74 = 10,382.16 : x
  2. Step 2: Convert to fraction form
    23,529.68/35,295.74 = 10,382.16/x
  3. Step 3: Cross multiply
    23,529.68x = 35,295.74 × 10,382.16
  4. Step 4: Simplify right side
    23,529.68x = 366,446,020.00
  5. Step 5: Solve for x
    x = 366,446,020.00/23,529.68
  6. Step 6: Final answer
    x = 15,573.78

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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.