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Finding the Fourth Proportional to 16,083, 22,194.60 and 10,494

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Solution

The fourth proportional to 16,083, 22,194.60 and 10,494 is: 14,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083 : 22,194.60 = 10,494 : x
  2. Step 2: Convert to fraction form
    16,083/22,194.60 = 10,494/x
  3. Step 3: Cross multiply
    16,083x = 22,194.60 × 10,494
  4. Step 4: Simplify right side
    16,083x = 232,910,132.40
  5. Step 5: Solve for x
    x = 232,910,132.40/16,083
  6. Step 6: Final answer
    x = 14,481.76

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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.