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Finding the Fourth Proportional to 16,871.76, 25,310.72 and 8,442.67

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Solution

The fourth proportional to 16,871.76, 25,310.72 and 8,442.67 is: 12,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.76 : 25,310.72 = 8,442.67 : x
  2. Step 2: Convert to fraction form
    16,871.76/25,310.72 = 8,442.67/x
  3. Step 3: Cross multiply
    16,871.76x = 25,310.72 × 8,442.67
  4. Step 4: Simplify right side
    16,871.76x = 213,690,056.42
  5. Step 5: Solve for x
    x = 213,690,056.42/16,871.76
  6. Step 6: Final answer
    x = 12,665.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.