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Finding the Fourth Proportional to 16,538, 22,822.44 and 9,086

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Solution

The fourth proportional to 16,538, 22,822.44 and 9,086 is: 12,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538 : 22,822.44 = 9,086 : x
  2. Step 2: Convert to fraction form
    16,538/22,822.44 = 9,086/x
  3. Step 3: Cross multiply
    16,538x = 22,822.44 × 9,086
  4. Step 4: Simplify right side
    16,538x = 207,364,689.84
  5. Step 5: Solve for x
    x = 207,364,689.84/16,538
  6. Step 6: Final answer
    x = 12,538.68

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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.