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Finding the Fourth Proportional to 15,960.30, 23,940.46 and 7,638.36

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Solution

The fourth proportional to 15,960.30, 23,940.46 and 7,638.36 is: 11,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960.30 : 23,940.46 = 7,638.36 : x
  2. Step 2: Convert to fraction form
    15,960.30/23,940.46 = 7,638.36/x
  3. Step 3: Cross multiply
    15,960.30x = 23,940.46 × 7,638.36
  4. Step 4: Simplify right side
    15,960.30x = 182,865,852.05
  5. Step 5: Solve for x
    x = 182,865,852.05/15,960.30
  6. Step 6: Final answer
    x = 11,457.54

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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.