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Finding the Fourth Proportional to 16,153.44, 24,243.12 and 8,364.48

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Solution

The fourth proportional to 16,153.44, 24,243.12 and 8,364.48 is: 12,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.44 : 24,243.12 = 8,364.48 : x
  2. Step 2: Convert to fraction form
    16,153.44/24,243.12 = 8,364.48/x
  3. Step 3: Cross multiply
    16,153.44x = 24,243.12 × 8,364.48
  4. Step 4: Simplify right side
    16,153.44x = 202,781,092.38
  5. Step 5: Solve for x
    x = 202,781,092.38/16,153.44
  6. Step 6: Final answer
    x = 12,553.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.