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Finding the Fourth Proportional to 16,469.96, 22,731.77 and 12,877.82

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Solution

The fourth proportional to 16,469.96, 22,731.77 and 12,877.82 is: 17,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.96 : 22,731.77 = 12,877.82 : x
  2. Step 2: Convert to fraction form
    16,469.96/22,731.77 = 12,877.82/x
  3. Step 3: Cross multiply
    16,469.96x = 22,731.77 × 12,877.82
  4. Step 4: Simplify right side
    16,469.96x = 292,735,642.34
  5. Step 5: Solve for x
    x = 292,735,642.34/16,469.96
  6. Step 6: Final answer
    x = 17,773.91

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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.