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Finding the Fourth Proportional to 15,840.48, 23,769.42 and 8,049.96

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Solution

The fourth proportional to 15,840.48, 23,769.42 and 8,049.96 is: 12,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.48 : 23,769.42 = 8,049.96 : x
  2. Step 2: Convert to fraction form
    15,840.48/23,769.42 = 8,049.96/x
  3. Step 3: Cross multiply
    15,840.48x = 23,769.42 × 8,049.96
  4. Step 4: Simplify right side
    15,840.48x = 191,342,880.22
  5. Step 5: Solve for x
    x = 191,342,880.22/15,840.48
  6. Step 6: Final answer
    x = 12,079.36

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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.