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Finding the Fourth Proportional to 22,206.12, 30,643.92 and 12,134.58

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Solution

The fourth proportional to 22,206.12, 30,643.92 and 12,134.58 is: 16,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.12 : 30,643.92 = 12,134.58 : x
  2. Step 2: Convert to fraction form
    22,206.12/30,643.92 = 12,134.58/x
  3. Step 3: Cross multiply
    22,206.12x = 30,643.92 × 12,134.58
  4. Step 4: Simplify right side
    22,206.12x = 371,850,983.84
  5. Step 5: Solve for x
    x = 371,850,983.84/22,206.12
  6. Step 6: Final answer
    x = 16,745.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.