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Finding the Fourth Proportional to 12,076.46, 16,657.84 and 8,724.20

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Solution

The fourth proportional to 12,076.46, 16,657.84 and 8,724.20 is: 12,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.46 : 16,657.84 = 8,724.20 : x
  2. Step 2: Convert to fraction form
    12,076.46/16,657.84 = 8,724.20/x
  3. Step 3: Cross multiply
    12,076.46x = 16,657.84 × 8,724.20
  4. Step 4: Simplify right side
    12,076.46x = 145,326,222.63
  5. Step 5: Solve for x
    x = 145,326,222.63/12,076.46
  6. Step 6: Final answer
    x = 12,033.85

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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.