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Finding the Fourth Proportional to 16,196.60, 22,352.67 and 9,124.38

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Solution

The fourth proportional to 16,196.60, 22,352.67 and 9,124.38 is: 12,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.60 : 22,352.67 = 9,124.38 : x
  2. Step 2: Convert to fraction form
    16,196.60/22,352.67 = 9,124.38/x
  3. Step 3: Cross multiply
    16,196.60x = 22,352.67 × 9,124.38
  4. Step 4: Simplify right side
    16,196.60x = 203,954,255.09
  5. Step 5: Solve for x
    x = 203,954,255.09/16,196.60
  6. Step 6: Final answer
    x = 12,592.41

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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.