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Finding the Fourth Proportional to 16,871.67, 25,308.20 and 5,785.98

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Solution

The fourth proportional to 16,871.67, 25,308.20 and 5,785.98 is: 8,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.67 : 25,308.20 = 5,785.98 : x
  2. Step 2: Convert to fraction form
    16,871.67/25,308.20 = 5,785.98/x
  3. Step 3: Cross multiply
    16,871.67x = 25,308.20 × 5,785.98
  4. Step 4: Simplify right side
    16,871.67x = 146,432,768.41
  5. Step 5: Solve for x
    x = 146,432,768.41/16,871.67
  6. Step 6: Final answer
    x = 8,679.21

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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.