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Finding the Fourth Proportional to 15,745.50, 21,728.46 and 8,671.98

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Solution

The fourth proportional to 15,745.50, 21,728.46 and 8,671.98 is: 11,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.50 : 21,728.46 = 8,671.98 : x
  2. Step 2: Convert to fraction form
    15,745.50/21,728.46 = 8,671.98/x
  3. Step 3: Cross multiply
    15,745.50x = 21,728.46 × 8,671.98
  4. Step 4: Simplify right side
    15,745.50x = 188,428,770.55
  5. Step 5: Solve for x
    x = 188,428,770.55/15,745.50
  6. Step 6: Final answer
    x = 11,967.15

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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.