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Finding the Fourth Proportional to 14,227.80, 19,625.20 and 8,638.80

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Solution

The fourth proportional to 14,227.80, 19,625.20 and 8,638.80 is: 11,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.80 : 19,625.20 = 8,638.80 : x
  2. Step 2: Convert to fraction form
    14,227.80/19,625.20 = 8,638.80/x
  3. Step 3: Cross multiply
    14,227.80x = 19,625.20 × 8,638.80
  4. Step 4: Simplify right side
    14,227.80x = 169,538,177.76
  5. Step 5: Solve for x
    x = 169,538,177.76/14,227.80
  6. Step 6: Final answer
    x = 11,915.98

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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.