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Finding the Fourth Proportional to 15,902.92, 23,847.09 and 4,810.78

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Solution

The fourth proportional to 15,902.92, 23,847.09 and 4,810.78 is: 7,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.92 : 23,847.09 = 4,810.78 : x
  2. Step 2: Convert to fraction form
    15,902.92/23,847.09 = 4,810.78/x
  3. Step 3: Cross multiply
    15,902.92x = 23,847.09 × 4,810.78
  4. Step 4: Simplify right side
    15,902.92x = 114,723,103.63
  5. Step 5: Solve for x
    x = 114,723,103.63/15,902.92
  6. Step 6: Final answer
    x = 7,213.96

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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.