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Finding the Fourth Proportional to 16,217.50, 24,294.78 and 10,653.96

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Solution

The fourth proportional to 16,217.50, 24,294.78 and 10,653.96 is: 15,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.50 : 24,294.78 = 10,653.96 : x
  2. Step 2: Convert to fraction form
    16,217.50/24,294.78 = 10,653.96/x
  3. Step 3: Cross multiply
    16,217.50x = 24,294.78 × 10,653.96
  4. Step 4: Simplify right side
    16,217.50x = 258,835,614.33
  5. Step 5: Solve for x
    x = 258,835,614.33/16,217.50
  6. Step 6: Final answer
    x = 15,960.27

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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.