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Finding the Fourth Proportional to 22,223.25, 30,666.83 and 12,149.82

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Solution

The fourth proportional to 22,223.25, 30,666.83 and 12,149.82 is: 16,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,223.25 : 30,666.83 = 12,149.82 : x
  2. Step 2: Convert to fraction form
    22,223.25/30,666.83 = 12,149.82/x
  3. Step 3: Cross multiply
    22,223.25x = 30,666.83 × 12,149.82
  4. Step 4: Simplify right side
    22,223.25x = 372,596,250.39
  5. Step 5: Solve for x
    x = 372,596,250.39/22,223.25
  6. Step 6: Final answer
    x = 16,766.06

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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.