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Finding the Fourth Proportional to 20,583, 28,408.66 and 11,630.61

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Solution

The fourth proportional to 20,583, 28,408.66 and 11,630.61 is: 16,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,583 : 28,408.66 = 11,630.61 : x
  2. Step 2: Convert to fraction form
    20,583/28,408.66 = 11,630.61/x
  3. Step 3: Cross multiply
    20,583x = 28,408.66 × 11,630.61
  4. Step 4: Simplify right side
    20,583x = 330,410,016.01
  5. Step 5: Solve for x
    x = 330,410,016.01/20,583
  6. Step 6: Final answer
    x = 16,052.57

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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.