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Finding the Fourth Proportional to 20,609.72, 28,432.38 and 12,108

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Solution

The fourth proportional to 20,609.72, 28,432.38 and 12,108 is: 16,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.72 : 28,432.38 = 12,108 : x
  2. Step 2: Convert to fraction form
    20,609.72/28,432.38 = 12,108/x
  3. Step 3: Cross multiply
    20,609.72x = 28,432.38 × 12,108
  4. Step 4: Simplify right side
    20,609.72x = 344,259,196.50
  5. Step 5: Solve for x
    x = 344,259,196.50/20,609.72
  6. Step 6: Final answer
    x = 16,703.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.