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Finding the Fourth Proportional to 14,043.38, 19,380.89 and 8,076.92

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Solution

The fourth proportional to 14,043.38, 19,380.89 and 8,076.92 is: 11,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.38 : 19,380.89 = 8,076.92 : x
  2. Step 2: Convert to fraction form
    14,043.38/19,380.89 = 8,076.92/x
  3. Step 3: Cross multiply
    14,043.38x = 19,380.89 × 8,076.92
  4. Step 4: Simplify right side
    14,043.38x = 156,537,857.67
  5. Step 5: Solve for x
    x = 156,537,857.67/14,043.38
  6. Step 6: Final answer
    x = 11,146.74

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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.