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Finding the Fourth Proportional to 12,123.88, 16,721.22 and 8,142.28

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Solution

The fourth proportional to 12,123.88, 16,721.22 and 8,142.28 is: 11,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.88 : 16,721.22 = 8,142.28 : x
  2. Step 2: Convert to fraction form
    12,123.88/16,721.22 = 8,142.28/x
  3. Step 3: Cross multiply
    12,123.88x = 16,721.22 × 8,142.28
  4. Step 4: Simplify right side
    12,123.88x = 136,148,855.18
  5. Step 5: Solve for x
    x = 136,148,855.18/12,123.88
  6. Step 6: Final answer
    x = 11,229.81

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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.