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Finding the Fourth Proportional to 15,896.46, 23,846.04 and 4,209.51

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Solution

The fourth proportional to 15,896.46, 23,846.04 and 4,209.51 is: 6,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.46 : 23,846.04 = 4,209.51 : x
  2. Step 2: Convert to fraction form
    15,896.46/23,846.04 = 4,209.51/x
  3. Step 3: Cross multiply
    15,896.46x = 23,846.04 × 4,209.51
  4. Step 4: Simplify right side
    15,896.46x = 100,380,143.84
  5. Step 5: Solve for x
    x = 100,380,143.84/15,896.46
  6. Step 6: Final answer
    x = 6,314.62

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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.