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Finding the Fourth Proportional to 16,243.08, 24,354.72 and 6,387

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Solution

The fourth proportional to 16,243.08, 24,354.72 and 6,387 is: 9,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.08 : 24,354.72 = 6,387 : x
  2. Step 2: Convert to fraction form
    16,243.08/24,354.72 = 6,387/x
  3. Step 3: Cross multiply
    16,243.08x = 24,354.72 × 6,387
  4. Step 4: Simplify right side
    16,243.08x = 155,553,596.64
  5. Step 5: Solve for x
    x = 155,553,596.64/16,243.08
  6. Step 6: Final answer
    x = 9,576.61

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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.