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Finding the Fourth Proportional to 16,038, 22,132.84 and 8,965.60

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Solution

The fourth proportional to 16,038, 22,132.84 and 8,965.60 is: 12,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 22,132.84 = 8,965.60 : x
  2. Step 2: Convert to fraction form
    16,038/22,132.84 = 8,965.60/x
  3. Step 3: Cross multiply
    16,038x = 22,132.84 × 8,965.60
  4. Step 4: Simplify right side
    16,038x = 198,434,190.30
  5. Step 5: Solve for x
    x = 198,434,190.30/16,038
  6. Step 6: Final answer
    x = 12,372.75

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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.