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Finding the Fourth Proportional to 16,461.49, 24,698.03 and 8,147.24

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Solution

The fourth proportional to 16,461.49, 24,698.03 and 8,147.24 is: 12,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.49 : 24,698.03 = 8,147.24 : x
  2. Step 2: Convert to fraction form
    16,461.49/24,698.03 = 8,147.24/x
  3. Step 3: Cross multiply
    16,461.49x = 24,698.03 × 8,147.24
  4. Step 4: Simplify right side
    16,461.49x = 201,220,777.94
  5. Step 5: Solve for x
    x = 201,220,777.94/16,461.49
  6. Step 6: Final answer
    x = 12,223.73

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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.