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Finding the Fourth Proportional to 28,199.50, 42,292.32 and 12,408.49

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Solution

The fourth proportional to 28,199.50, 42,292.32 and 12,408.49 is: 18,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,199.50 : 42,292.32 = 12,408.49 : x
  2. Step 2: Convert to fraction form
    28,199.50/42,292.32 = 12,408.49/x
  3. Step 3: Cross multiply
    28,199.50x = 42,292.32 × 12,408.49
  4. Step 4: Simplify right side
    28,199.50x = 524,783,829.80
  5. Step 5: Solve for x
    x = 524,783,829.80/28,199.50
  6. Step 6: Final answer
    x = 18,609.69

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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.