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Finding the Fourth Proportional to 12,076.96, 16,658.53 and 8,724.70

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Solution

The fourth proportional to 12,076.96, 16,658.53 and 8,724.70 is: 12,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.96 : 16,658.53 = 8,724.70 : x
  2. Step 2: Convert to fraction form
    12,076.96/16,658.53 = 8,724.70/x
  3. Step 3: Cross multiply
    12,076.96x = 16,658.53 × 8,724.70
  4. Step 4: Simplify right side
    12,076.96x = 145,340,549.77
  5. Step 5: Solve for x
    x = 145,340,549.77/12,076.96
  6. Step 6: Final answer
    x = 12,034.54

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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.