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Finding the Fourth Proportional to 16,141.89, 24,220.15 and 8,240.34

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Solution

The fourth proportional to 16,141.89, 24,220.15 and 8,240.34 is: 12,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.89 : 24,220.15 = 8,240.34 : x
  2. Step 2: Convert to fraction form
    16,141.89/24,220.15 = 8,240.34/x
  3. Step 3: Cross multiply
    16,141.89x = 24,220.15 × 8,240.34
  4. Step 4: Simplify right side
    16,141.89x = 199,582,270.85
  5. Step 5: Solve for x
    x = 199,582,270.85/16,141.89
  6. Step 6: Final answer
    x = 12,364.24

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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.