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Finding the Fourth Proportional to 12,122.88, 16,719.84 and 8,141.28

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Solution

The fourth proportional to 12,122.88, 16,719.84 and 8,141.28 is: 11,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.88 : 16,719.84 = 8,141.28 : x
  2. Step 2: Convert to fraction form
    12,122.88/16,719.84 = 8,141.28/x
  3. Step 3: Cross multiply
    12,122.88x = 16,719.84 × 8,141.28
  4. Step 4: Simplify right side
    12,122.88x = 136,120,899.00
  5. Step 5: Solve for x
    x = 136,120,899.00/12,122.88
  6. Step 6: Final answer
    x = 11,228.43

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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.